Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 84199: the distance from the sun to earth is approximately 1.5 times 10 to the power of 8 km. The distance from the sun to the planet Neptune is approximately 4.5 times 10 to tye power of 9 . What is the ratio of Earth's distance from the sun to neptune's distance from the sun?
Click here to see answer by ptaylor(2198) About Me 

Question 84461: Tutor could you please help me with the following math problem?? Thank you for your help!
How do I simplify this expression, writing the result using positive exponents.
(x^2)^8x
________
x^9

Click here to see answer by tutor_paul(519) About Me 

Question 84532: ((2x)^2)((4x)^4)((8x)^6)=
a.) (2^22)(x^12)
b.) (2^24)(x^12)
c.) (2^26)(x^12)
d.) (2^28)(x^12)
I know the answer is d. but how would you arrive at that answer without multiple choice answer. Say this was on a test and it wasn't multiple choice, how would you arrive at the correct answer in that format. I understand how to get the x^12 but I do not know how to arrive at 2^28. How do get from 268435456 to 2^28?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 84569: Tutor: I still don't understand this one: How do I simplify this expression and write the result using positive exponents only The expression is: ((x^2)^8x)/x^9
Thank you!

Click here to see answer by funmath(2933) About Me 

Question 84650: Tutor can you please help me multiply this expression Thank you!
(5m-6n+7) (2m-3n-4)

Click here to see answer by liz_gcmama(8) About Me 

Question 84756: Tutor could you please help me with this long division?
Using long division divide 7x^3 -3x^2 -4x+5 divided by 7x -1
Thank you for your help
I started by doing this: 7x-1/7x^3x^2-4x+5/-7x/x^2

Click here to see answer by Edwin McCravy(20054) About Me 

Question 84755: Tutor: Can you help me: How do I simplify this expression using positive exponents?
(-2a^-4b^2c^-7) (3^-2a^-2b^-5c^9)
I started by -2*9 a^-6b^-3c^2 -18c^2/a^6b^3
but I got confused about dividing!
Thank you!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 84712: bTO THE POWER OF 2 - 2bc+ cTO THE POWER OF 2 =
Click here to see answer by bucky(2189) About Me 

Question 84715: +%28-5%29%5E2-3+
Click here to see answer by Spec80(9) About Me 

Question 84713: 7%284w-+3%29+-+25w+
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Question 84714: 9-+%28-2%29+%28-7%29=
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Question 85107: How Do I solve this problem? I do not know how to get the number squared on the computer. For Example 4(-2)Squared+8(-2)+3(-2)+6
Click here to see answer by stanbon(75887) About Me 

Question 85198: Hello out there,I need some help with some problems,the first one is,A right triangle has legs of lengths 10 and 24.What is the length of the hypotenuse?Round to the nearest tenths.The next one is,A right triangle has a hypotenuse equal to 35 and one leg of length 30.Find the length of the other leg to the nearest tenth.The next one is,Write -4 times y times y times y using exponents.And the last one is,Write 3cd(to the third power) as a multiplication expression.Thanks to whoever can help.
Click here to see answer by checkley75(3666) About Me 

Question 85260: Tutor: Can you help me please..... the problem is to simplify, using positive exponents (z^5 x^5)-3
Thank you for your help!

Click here to see answer by checkley75(3666) About Me 

Question 85315: Hello out there,I'm having some trouble with some problems that I need help with,the first one is,A rectangle has side length 30 mm and diagonal length 34 mm.Find the length of the other side of the rectangle to the nearest whole number.Second one is,Estimate the value of the square root:0.85.Next one is,If x=0.04,what is the value of x?The last one is,Express 0.0049 in scientific notation.Thanks for whoever can help.
Click here to see answer by checkley75(3666) About Me 

Question 85288: Evaluate f(x) = 3x5 – 5x3 + 2x2 + 6 for:
a. x = 0
b. x = 2
c. x = -2
d. 2x

Click here to see answer by scianci(186) About Me 

Question 85418: Write 4 • 4 • 4 • 4 • 4 in exponential form
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 85450: Tutor please help me with this word problem, this is just a pre algebra. Thank You Very much.
The number is the smallest number that can be written as a power of 3, 9, or 27.

Click here to see answer by scianci(186) About Me 

Question 85451: please help me with this word problem. Thank You!
The number is greater than 2^5 but less than 2^6. it is a power of 7. What is the number.

Click here to see answer by scianci(186) About Me 

Question 85477: Hello out there,I need some help with some problems,the first one is,A rectangle has side length 30 mm and diagonal length 34 mm.Find the length of the other side of the rectangle to the nearest whole number,for that problem,I;m coming up with three answers all the time,45,16,and 7.The next problem is,A right triangle has legs of lengths 10 and 24.What is the length of the hypotenuse?Round to the nearest tenths,for that one I got 26.0,is that correct?The next one is,A right triangle has a hypotenuse equal to 35 and one leg of length 30.Find the length of the other leg to the nearest tenth,and for that one I got three different answers as well,46.1,18.0,and 2.2.And the last one is,Estimate the value of the square root:0.85,and for that one I got four different answers,3,2,0,and 1,thanks for whoever can help.

Click here to see answer by stanbon(75887) About Me 

Question 85519: Hello out there,I need some help with some problems,the first one is,Write 3cd^3(to the third power)as a multiplication expression.The next one is,Simplify:5c^-5 d^-1.Next is,Simplify:(11cd)(2c^2d)(d).And the last one is,Simplify:(3x^4y)(xy^2).Thanks to whoever can help.
Click here to see answer by stanbon(75887) About Me 

Question 85651: how do you solve a^2b^1c^-1
Click here to see answer by scianci(186) About Me 

Question 85781: Hello out there,I need some help with some math problems,the first one is,Simplify:5^2x(times)5^4.The next one is,Evaluate -5x^4z,if x=-2 and z=3.The next one is,Simplify:-14m^2n divided by 7m^2.And the last one is,Express 7,200,000,000 in scientific notation.Thanks for whoever can help.
Click here to see answer by scianci(186) About Me 

Question 85835: I know this is a very basic question, but I cannot remember if there is any way of figuring 1.02^20 other than the traditional long way of doing 1.02x1.02x1.02 etc etc. Is there an easier formula or way to do this?


I also need to know if 10% changed to a decimal is .010 or .10
Thank you.

Click here to see answer by stanbon(75887) About Me 

Question 85845: 0³•3º•9½
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Question 85991: How do you factor 16x to the 4th power minus 1.
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Question 85954: i cant find solution on this algebra problem because of lack knowing on this proble(4x^4 y^3) (-5x^5 y^2)
Click here to see answer by tutorcecilia(2152) About Me 

Question 85952: i cant find solution on algebra problem because of lack knowing of this problem 2^3 2^3
x^4 x
y^3 y^7
(4^4 y^3) (-5x^5 y^2)
(4nx^5n) (5nx^4n)
(2^3)^2
(x^2)^5
(x^n)^n
(y^4)^6

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 86134: 1) Factor by grouping:
18a^3– 24a^2b + 15ab^2– 20b^3


2) Solve the following:
18x^2 + 9x – 2 = 0

3)Multiply: (x + 2y)^4

4)Simplify the following expression:
(1/2)^3 + (1/3)^-2 - (1/4)^-2

Click here to see answer by stanbon(75887) About Me 

Question 86129: 1. Add
1/1-x^2 + 1/x-1
2. Subtract
4x+1/25x^2+15x+2 - 3x-2/30x^2+11x+1

Click here to see answer by stanbon(75887) About Me 

Question 86120: 1. How do I perform the indicated operation?
3 5
___ - ___
2b 3b^3

2. Subtraction:
_____2x____ - ___7___
x^2-13x+42 x-6

3. Find LCD:
_____7_____, ___8___
a^2+2a-63 a+9

4. Perform the indicated operation. Simplify if possible.
___6a^2-8a-8___ / ___a-2___
2a^2-9a-56 a-8

Thanks!




Click here to see answer by stanbon(75887) About Me 

Question 86198: Can you please help me with these exponential/logarithmic equations?
a) solve 2^x=14
b) solve 3^x+2=81
c) solve log(x+8)= 1 + log(x-10)
Thank you so much for your help.

Click here to see answer by stanbon(75887) About Me 

Question 86222: Please help with (9a/4b)^0. Is it 9a/4b or 1?
Click here to see answer by sofiyacherni(99) About Me 

Question 86221: Not even sure how to begin this one:
((6x^4/2xy^3))^3

Click here to see answer by sofiyacherni(99) About Me 

Question 86220: Just taking algebra again after 21 years. Have a simple question. How do I solve (3/5)^-2? Do I multiply 3/5 twice and it is positive because of the two negatives? That answer would be 9/25??
Click here to see answer by ptaylor(2198) About Me 
Question 86220: Just taking algebra again after 21 years. Have a simple question. How do I solve (3/5)^-2? Do I multiply 3/5 twice and it is positive because of the two negatives? That answer would be 9/25??
Click here to see answer by sofiyacherni(99) About Me 

Question 86338: Good day to all,I need some help with some problems,the first one is,Evaluate 2x^-1y^3 if x=2 and y=-1.The next one is,Express 7,200,000,000 in scientific notation.The next one is,Express (1.4 times 10^7)(2.5 times 10^2)in scientific notation.And the last one is,Evaluate -5x^4z,if x=-2 and z=3.Thanks to whoever can help me.
Click here to see answer by jayanthihemkos@yahoo.com(87) About Me 

Question 86493: (3m)to the third power x (2m-to the second power)to the fourth power
Click here to see answer by tutorcecilia(2152) About Me 

Question 86760: Good day to all,I need some help with some problems,The first one is,Write 3cd^3 as a multiplication expression.Second was is,Simplify:-18m^5n^2/6m^-4n^3.The next one is,Simplify:f^3g^4/f^4g^6.And the last one is,Express 8times10^6/4times10^2 in scientific notation.Thanks for whoever can help.
Click here to see answer by tutorcecilia(2152) About Me 

Question 86846: Q WHAT IS THE VALUE OF (-1) TO THE POWER IRRATIONAL NUMBER
Click here to see answer by stanbon(75887) About Me 

Question 86900: [-18]1
Click here to see answer by tutorcecilia(2152) About Me 

Question 87165: Good day to all,I need some help with some problems and thanks to whoever can help,the first one is,Express 8times10^6/4times10^2 in scientific notation.The next one is,Simplify:f^3g^4/f^4g^6.The next one is,Simplify:-18m^5n^2/6m^-4n^3.And the last one is,Write 3cd^3 as a multiplication expression.
Click here to see answer by stanbon(75887) About Me 

Question 87247: Write in descending-exponent form, and give the degree. 4x^5 + x^8 -7
Click here to see answer by jim_thompson5910(35256) About Me 

Question 87421: Good day to all,I need some help with some problems,they only thing is I don't have the square root symbol on my computer,so I will use this for the square root symbol(square root).The first problem is,If x=(square root)0.004,what is the value of x and for that problem I got two answers,the first one was 0.02,and the other was 0.08.And the last problem is,Estimate the value of the square root:(square root symbol)0.85,and for that one I got four different answers,it was 3,2,1,and then 0.Thanks for whoever can help me.
Click here to see answer by tutorcecilia(2152) About Me 

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