Question

!! PLEASE HELP !!
What is the expression in radical form?
(3p^3q)3/4

Answer 1

A

Explanation:

Recall that if we are given fractional exponents, we can use the following property:

`\displaystyle x^{ {}^(a)\!/\! {}_(b)} = \sqrt[b]{x^a}`

We are given the expression:

`\displaystyle (3p^3q)^{ {}^(3)\!/\! {}_(4) }`

Use the above property, this yields:

`=\sqrt[4]{(3p^3q)^3}`

Using the power of a power property, we can simplify this to:

`=\sqrt[4]{(3^3)(p^3)^3(q)^3}`

Simplify:

`=\sqrt[4]{27p^9q^3}`

In conclusion, our answer is A.