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Question
now its time to practice on your own
what is this expression in radical form?
$(3^{\frac{1}{4}})^3$
$\circ\\ \sqrt4{4^3}$
$\circ\\ \sqrt3{3^4}$
$\circ\\ \sqrt4{3^1}$
$\circ\\ \sqrt4{3^3}$
if you want to see more instruction and examples, us reference guide summit algebra 1, your notebook, ar resources to help you.
algebra 1 reference guide:pr
Step1: Simplify the exponent
First, use the exponent rule $(a^m)^n = a^{m \times n}$.
$(3^\frac{1}{4})^3 = 3^{\frac{1}{4} \times 3} = 3^\frac{3}{4}$
Step2: Convert to radical form
Use the rule $a^\frac{p}{q} = \sqrt[q]{a^p}$.
$3^\frac{3}{4} = \sqrt[4]{3^3}$
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$\boldsymbol{\sqrt[4]{3^3}}$ (the last option)