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^{(b)/(c)}`

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

So we have:

`\sqrt[]{(4x)^3}=(4x)^{(3)/(2)}`

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