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

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Question 598235: find the value of 4 to the 4th power
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Question 598386: What is the remainder when 5^30 is divided by7?
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Question 598175: Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b^3)^2
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Question 599308: the quantity 5a cubed in exponential form
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Question 599410: I want to solve the exponential equation 2^x^3 + 5 = 0, where x^3 is the exponent to 2, but I can't take the (ln) of a negative number.

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Question 599454: What is (6.2 x 10^11) / (8 x 10^-3) in scientific notation?
Click here to see answer by josmiceli(9661) About Me 

Question 599629: -2x + -^2x= 4 HOW does this make sense? Its on a pre test for the college entrance test. It doesn't make sense does it? It has me stumped, and I am probably not realizing something that is really obvious. But using brackets, it does not WORK OUT to equal 4?????
Click here to see answer by Alan3354(30983) About Me 

Question 599683: 5x^2-21x+4=?...I can't figure out the answer.

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Question 599765: This is a scientific notation what is 4.o times 10^-3 subtracted by 2.5 times 10^-3
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Question 599866: How long will it take any quantity of iodine 131 to decay to 25% of its initial amount, knowing that it decays according to the function defined by A(t)=A_0 e^(-.087t), where t is time in days?
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Question 600333: a right angle hypotenuse is 6m and one leg is 2 times the square root of 5 find the length of the other leg
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Question 600451: subtrack+4x+3y+5 from x-2y-3
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Question 601149: I'm confused on factoring trinomials my problem is 8y² + 17y + 9 please help me.
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Question 601232: I came up with the answer of -10 for this problem, could someone tell me if that is correct?
-a^2-3a(a-n) if a = -2, n = -1

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Question 601287: Please help- I have started the problem, just not sure I am going down the right road....
Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
(24y^-1/72x^-3y^4)^2
Here is what I have so far!
72/24=3
(y^-1/3x^-3y^4)^2
(y^-1/3x^-3y^4)^2* y^-4 (which leaves y^-4*y^-1= y^4)
(y^4/3x^-3)^2
PLEASE HELP!!!!!!!!

Click here to see answer by jim_thompson5910(28504) About Me 

Question 601353: I have to solve for V
I=2V/V+2r
Thanks

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Question 601281: How do I solve 65-15>20- ?
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Question 601830: 5[8[1/3]+27[1/3]]3]4 using laws of exponents with steps
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Question 602824: ((a^6)(b^-10))^(-3/2) I need this simplified. I have been playing around with it for awhile. The best I myself have come up with is a^-9 b^15 . The simplifier gives me (a^6/b^10)^-3/2 . I KNOW the correct answer is b^15 / a^9 . I would like to know how to solve this. Please help ?
Click here to see answer by stanbon(57246) About Me 

Question 602962: Simplify (a^8b^3)(a^4b)

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Question 603719: 5^5/5^4=
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Question 604106: (1/32)^2x=64^x+1 How would I go about solving this?
Click here to see answer by jim_thompson5910(28504) About Me 

Question 604129: write in scientific notation
(2 times 10 to the 8 power)(8 times 10 to the 2 power)

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Question 604381: How do you solve x to the fifth minus one, divided by x-1? so (x^5)-1/x-1
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Question 604468: 4zmn^3-2zm^2+nzmn^2-mzm
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Question 604896: (x^5)^3 (x^4)^5
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Question 605157: Hi there! I need some help finding out the rule of simplifying the common bases in fractional exponent equations. For example 3 to the 4th power multiplied by 2 to the 3rd power over 3 to the 7th power multiplied by 2 to the 2nd power, all raised to the -2 power equals 729/4. I understand how to turn the -2 to a positive 2 exponent by flipping the bottom part of the equation and putting it on top and then moving the top part of the equation to the bottom. What I do not understand is how I find the common bases before raising each factor to the 2nd power. My book shows that 3 to the 7th power becomes 3 to the 3rd power and that the 2 to the 2nd power is completely cancelled out. My book also shows that the 3 to the 4th power is completely cancelled out and that the 2 to the 3rd power becomes 2 to the 1st power. I don't understand how that happened. If they took the 3 to the 7th exponent and the 3 to the 4th exponent and subtracted the exponents (7-4=3), that makes sense. However, what does not make sense to me is that if that is true, then the 2 to the 2nd power and the 2 to the 3rd power should be (2-3= -1); however, the book shows that it is not a -1 exponent, but a positive 1 exponent. What is the rule here? Thank you :)
Click here to see answer by Alan3354(30983) About Me 

Question 605226: Simplify the expression: ++y%5E%28-1%2F2%29+y%5E%285%2F2%29+%2F+y%5E%281%2F3%29++
top two exponents are: -1/2 and 5/2 (they get cut off a little, at least on my screen)

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Question 605340: find dy/dx
y=2 ln x+6log2^x

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Question 605402: how many feet would a steel marble fall where d=16t2
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Question 605791: 32 to the power n =2 how to find n
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Question 605789: 32 to the power n =2 how to find n
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Question 606004: need help with steps to solving: (128x^21)^4/7
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Question 607999: Simplify.
(x^2 + 5x + 8)(x^2 + 2x + 6)

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Question 608123: What is 2x+10/x+5 in its simplest form
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Question 608471: The original problem was (4^(x+y))/(8^(x+y))=512; I simplified to (1/2)^(x+y)=512, then multiplied by 2 and got 1^(x+y)=1024, but i dont know how to get that into the form x=.... or y=....
Please Help!!

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Question 608911: How do I solve?
8 over 27 = b exponent -3

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Question 609380: will you help to answer this equation : Find the value of (-8) to the power of three
if the laws of multiplying a negative number and a positive number ( is the exponent 3 a positive number ) the result is a positive number then is the answer (24) ?

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Question 609622: When subracting equations with variables and exponents, would you also subtract the exponents? example: 2x^8y^9 - 4x^6y^6
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Question 611054: simplify (-x^1/2y^1/3)^3(x^-9 y^3)^1/6
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Question 611076: I was asked to use a scientific calculator to evaluate the following, but I do not understand it at all:
e^2.4(1+e^2)

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Question 611074: I was asked to use a scientific calculator to evaluate the following:
5e^2/4e^3-3

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Question 611070: Simplify the exponential expression:
sqrt (e^8^x) * sqrt (e^6^x)

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