Question

I need to understand how to solve (x^6)^1/3 @dumbsearch2 can you help?

Answer 1

I'll try :)

Answer 2

Thank You. I am new to openstudy. I was told about so I thought I would give it a try.

Answer 3

\[(x^n)^m = x^{n\cdot m}\]

Answer 4

@pgpilot326 okay can you do that with numbers it doesn't have to be with the same numbers i gave. can you make the problem different from what i gave?

Answer 5

sure...

for example:\[(x^2)^3=(x^2)\cdot (x^2)\cdot (x^2)=x^6 = x^{2\cdot 3}\]

Answer 6

okay okay I get it now but it doesn't matter if it's a fraction outside of the parenthesis right?

Answer 7

@pgpilot326

Answer 8

nope, doens't matter what kind of number is inside or outside. the property holds regardless.

you can even switch ... (so long as the operation is commutative)

\[(x^n)^m = (x^m)^n = x^{n\cdot m}= x^{m\cdot n}\]

Answer 9

so did you work it out?

Answer 10

Yes I did. You are a great help. I wish i had something to give you for your help. Thank you Thank You! @pgpilot326

Answer 11

your appreciation and learning is more than enough!!! keep up the good work!!!

Answer 12

Thank You @pgpilot326

Answer 13

@Nikia_perez You are so welcome!