5.2.5 Practice

Algebra 15.2.5 Practice

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Complete the following questions to practice the skills you have learned in this lesson.

Simplify $\sqrt[4]{81}$ .

Simplify $\sqrt[5]{-32}$ .

Which of the following is equivalent to $\sqrt[4]{x^3}$ ?

$\frac34x$
$4x^3$
$x^\frac43$
$x^\frac34$

Which of the following is equivalent to $\sqrt[9]{2^4}$ ?

$2^\frac49$
$\frac{2^4}9$
$\frac49(2)$
$2^\frac94$

Simplify $k^3\;\cdot\;k^\frac13$ .

$k^\frac{10}3$
$3k^\frac13$
$\frac13k^3$
$k$

Simplify ${(m^\frac34)}^{-2}$ .

$-2m^\frac34$
$m^\frac32$
$\frac1{m^\frac32}$
$m^\frac68$

True or false:
$\sqrt[4]{-16}\;=\;-2$

false
true

True or false:
$\sqrt[3]{-64}\;=\;-4$

false
true

Which of the following expressions are equivalent to perfect squares? Select the three that apply.

25
$\sqrt{16}$
$3+3$
$\sqrt[5]{9^5}$
$3\;\cdot\;2$

Which of the following is equivalent to ${(x^\frac15)}^4$ ?

$x^{20}$
$x^\frac4{20}$
$x^\frac45$
$x^4$

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
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