Question

Rewrite the expressionSquare root (4x)^3 using rational exponents

Answer 1

In order to rewrite this expression using rational exponents, we can use the following property:

$\sqrt[c]{a^b}=a^{\frac{b}{c}}$

This way, the radical becomes a denominator in the exponent fraction.

So we have:

$\sqrt[]{(4x)^3}=(4x)^{\frac{3}{2}}$

So the equivalent expression is (4x)^(3/2).