Question

Simplify (x^3/8)^3/4

Answer 1

When an exponent is raised to another exponent, you can multiply the powers to simplify them.

3/8*3/4

*Multiply numerators*

3*3=9

*Multiply denominators*

8*4=32

x^9/32

Hope this helps!!

Answer 2

For this case we must simplify the following expression:

$(x ^ {\frac {3} {8}}) ^ {\frac {3} {4}}$

By definition of power properties we have to:

$(a ^ m) ^ n = a ^ {m * n}$

So, rewriting the expression we have:

$(x ^ {\frac {3} {8}}) ^ {\frac {3} {4}} = x ^ {\frac {9} {32}}$

ANswer:

$x ^ {\frac {9} {32}}$