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

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Question 622575: How do I write "x · y · z · z · z · z" in exponential form ?
Click here to see answer by lynnlo(4176) About Me 

Question 623084: 1. Use the laws on exponents for multiplication and division in simplifying the following:
a) 12m3 ● 6m7
b) (6x4 + x3)x5
c) (5y)4

d) 2x-2y4z3
8x3yz3
e) (m.1/3)12

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

Question 623329: So my question is how do I check this answer I get confused how to set it up! So I got 5a-3/2-3a-9/8=6 I worked it out and it come out a=3 but how do I set it up to check the answer?? Please help thank you!
Click here to see answer by Alan3354(69443) About Me 

Question 623648: Not sure if this is right place to ask this question:
The problem had a step in it:
First rewrite the value of f(x) in exponential form, with base 8.
f(x)=1/512 = 1/8^3 = 8^-3
I understand that 8^3 equals 1/512, just not what steps they took. Is there an easy way to figure out the exponential form of a number? Also, why did the exponent become negative at the end step?
Thank you.

Click here to see answer by ewatrrr(24785) About Me 

Question 623730: Multiply (3c+2)(4c+1)=? I'm stuck and don't know where to start please help! Thank you!
Click here to see answer by unlockmath(1688) About Me 

Question 623732: Simplify the expression using the properties of exponents.
(3^3 m^2 n/n^3)^-1
I didn't know how to write this question. It's suppose to be read as: (Three to the 3rd, m to the 2nd, n.. OVER.. n to the 3rd)times the power of -1

Click here to see answer by ewatrrr(24785) About Me 

Question 623772: How do I solve:
(4u-2vw-3)(4u-3w3) These are all to the power of and not minuses. Can't figure out how to enter negative exponents on my computer.

Click here to see answer by Alan3354(69443) About Me 

Question 623840: Solve the exponential equation
9%5E%28x%2B1%29=+27

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

Question 623841: Solve the exponential equation
e%5E%282-x%29=1%2F%28sqrt%28e%29%29

Click here to see answer by solver91311(24713) About Me 

Question 624145: What is 3 to the 6th power divided by 3 squared?
Click here to see answer by nerdybill(7384) About Me 

Question 624356: 4*(32-2)+12/4*3=
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624667: Simplify:
(-2^-2)^-1

Click here to see answer by lenny460(1073) About Me 

Question 624721: I need help trying to solve this. Well I know the answer, I just need a deeper explanation.
x^2-x-6/x^2-4
The answer they gave was x-3/x-2

Click here to see answer by jim_thompson5910(35256) About Me 
Question 624721: I need help trying to solve this. Well I know the answer, I just need a deeper explanation.
x^2-x-6/x^2-4
The answer they gave was x-3/x-2

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

Question 625528: I must type this as exponential notation with positive exponents, but I thought that was something like this (Example 8.72 * 10^7)
The problem I must solve ended up to be a fraction for me with no exponents at all. Help!
(25x^2)/(3x^2-18x+27)*(3x-9)/(5x)
The answer I came up with was (5x)/(x-3)
Am I right or did I miss something?

Click here to see answer by Alan3354(69443) About Me 

Question 626463: How would i solve 3x/4^2+x/16
Click here to see answer by jim_thompson5910(35256) About Me 

Question 627216: x^5 +x^2 = 1 what is the value of x ?????? show me the work
Click here to see answer by richwmiller(17219) About Me 

Question 627243: 1/8^-4/3
Click here to see answer by ewatrrr(24785) About Me 

Question 627272: i need help on how to dividing fractions with a negative number such as -1/5 divided by 7/4 i do not know how to find the quotient can you help me?
Click here to see answer by solver91311(24713) About Me 

Question 627309: 2x/5-3/10=1/x
Click here to see answer by ewatrrr(24785) About Me 

Question 627312: Find rational exponents that satisfy the equation 32^? = 8
Click here to see answer by jim_thompson5910(35256) About Me 
Question 627312: Find rational exponents that satisfy the equation 32^? = 8
Click here to see answer by psbhowmick(878) About Me 

Question 627320: Find the rational exponent that satisfy this equation 32? = 1%2F8
Click here to see answer by jim_thompson5910(35256) About Me 
Question 627320: Find the rational exponent that satisfy this equation 32? = 1%2F8
Click here to see answer by ewatrrr(24785) About Me 
Question 627320: Find the rational exponent that satisfy this equation 32? = 1%2F8
Click here to see answer by Edwin McCravy(20054) About Me 

Question 627283: Write down the values of the following:
1. 8^-1/3
2. 3/8^ -1

Click here to see answer by jsmallt9(3758) About Me 

Question 628011: The exact solution(s) of log(3x^2 + 4x) = log(19x + 42)are as follows. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
x=?

Click here to see answer by nerdybill(7384) About Me 

Question 628008: Use algebraic procedures to find the exact solution(s) of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

e^(x + 3) = 22
x=?

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

Question 628010: Use algebraic procedures to find the exact solution(s) of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
4^(4x − 3) = 5^(−x − 1)
x=(?,?)

Click here to see answer by solver91311(24713) About Me 

Question 628009: The exact solution(s) of 5^(5x − 3) = 8^(−x − 1) are the following. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
x = (?,?)

Click here to see answer by solver91311(24713) About Me 

Question 628223: Please help me solve this equation +sqrt%28x-2%29+=+x-4+
Click here to see answer by solver91311(24713) About Me 

Question 628731: Use a calculator to find the following power e^3.4863 how do i solve this using a ti 83?
how do i solve this problem using a ti83 plus calculator and round to the nearest thousandth

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

Question 628813: Please help me solve this equation:
(2x^3)(1/4x^4)(x^2)(12x)^2=

Click here to see answer by vleith(2983) About Me 

Question 629087: What is twelve to the second power multiplied by six to the negative two? (show work please).
Click here to see answer by meetkisai(17) About Me 

Question 629085: S(n) is a function that squares numbers. Find S(13) WHEN S(n)= n to the second power.
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 629337: Dear tutor, I was wondering if you could show me how to solve these equations. Although I need to write the expression without a fraction bar.

5/t^4 -- I have tried and wrote this as 5t^4

6z/y^5 -- I also wrote this like 6zy^5
I am unsure if that was right or not and if wrong please explain.
Thank you for your time.

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

Question 629354: Dear tutor I was wondering on how to find the quotient of my problem but by only using positive exponents.

18a^-20/8a^9
I am very unsure on what steps to take to solve it.
Also I need help on this:
(w^3)(y^13)/(w^11)(y^6)
Thank you and I hope that you can help.

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

Question 629636: If (3^5x)(27^5x)=(3^48)(9^9x), then what is the value of x?
I tried to solve for x as a regular equation and got stuck when x was isolated on one side as an exponent.....(3^5x)(27^5x)=(3^48)(9^8x)
81^10x=(3^48)(9^8x)
9^2x=(3^48)
Also tried....
10x=48+8x
2x=48
x=24
the answer is 12

Thank you

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

Question 629713: I need help on this problem, I'm not sure if I have the steps right or if I'm doing something wrong. Any help is appreciated. :)
"evaluate the expression"
5^0 + 8^1

5^0 is always a 1 so 1 + 8^1
then i make the 8^1 a fraction I think?
1 + 8^1/1
then i multiply so is the answer 1 64/1 ?
Is that true or false.

Click here to see answer by ewatrrr(24785) About Me 

Question 629745: I have alot of trouble with these type of problems
"simplify, write your answer using only positive exponents"
5^4 y^7
_______
5^6 y^3
do i work out each exponent with the whole numbers individually and then multiply them with each other?


Click here to see answer by Alan3354(69443) About Me 

Question 630381: Rewrite the following without an exponent.
(-3)^-2

Click here to see answer by ewatrrr(24785) About Me 

Question 630387: A street that is 264m long is covered in snow. City workers are using a snow plow to clear the street. A tire on the snowplow has to turn 44 times in traveling the length of the street. What is the diameter of the tire? Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any intermediate steps.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 631070: X^2*x^4*x
(-7x)^3
(2b^3)^4
a^8/a^11
NEED HELP ASAP PLEASE-DIRECTIONS SAY SIMPLIFY for these 4 problems! Thanks in advance!

Click here to see answer by stanbon(75887) About Me 
Question 631070: X^2*x^4*x
(-7x)^3
(2b^3)^4
a^8/a^11
NEED HELP ASAP PLEASE-DIRECTIONS SAY SIMPLIFY for these 4 problems! Thanks in advance!

Click here to see answer by 55305(86) About Me 

Question 631072: Solve the following system of equations graphically.
y = 2x - 3
x + y = 3
What is the solution set?
{(2, 1)}
{(1, 2)}
{(-1, -2)}
{(-2, -1)}
Please help!

Click here to see answer by richwmiller(17219) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020