Question

(X^3/8)^3/4

Answer 1

Instructions, please?

Answer 2

simplify

Answer 3

John, most questions such as this one come with instructions. I have enough experience to know what we're supposed to do here, but I strongly urge you to include the instructions with every question posted.

(X^3/8)^3/4 is an algebraic expression. Our job is to simplify it. (We can't "solve" it because we don't have an equation here.

Please look very carefully at the original problem statement.

Does it read as\[x^\frac{ 3 }{ 8 }\] or as \[\frac{ x^3 }{ 8 }?\]

It would be worth your while to learn how to use equation Editor (below), because your posts would be so much clearer if presented that way.

Answer 4

I suspect that you meant the first one. Actually, we could do the problem both ways.

I'm going to assume that you meant \[x ^{\frac{ 3 }{ 8 }}\]

Answer 5

\[x^{3/8}\]

Answer 6

And then on the outside there is another exponent of 3/4 over the whole problem

Answer 7

then you have \[(x ^{3/8)})^{\frac{ 3 }{ 4 }}\]

Answer 8

yes the 3/4 is an exponent of the whole thing right

Answer 9

thanks for the clarification, John.

Use the property\[(x^a)^b = x ^{ab} \]

Answer 10

to evaluate \[(x ^{3/8)})^{\frac{ 3 }{ 4 }}\]

Answer 11

wait so it would be \[x^{9/32}\]

Answer 12

Note that my\[(3/8)\frac{ 3 }{ 4 }\rightarrow \frac{ 3 }{ 8 }*\frac{ 3 }{ 4}=?\]

Answer 13

Exactly right you are. And also done. Nice work, John!

Answer 14

And thank you for being bold enough to try and use Equation Editor. :)