CPM Homework Help : PCT Problem 2-44

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2-44.

Rewrite each of the following radical expressions using fractional exponents instead of radicals and exponents.

$\sqrt [ 3 ] { 5 ^ { 2 } }$
Answer (a):
$5^{\text{power/root}} = 5^{2/3}$

$( \sqrt [ 4 ] { 2 } ) ^ { 5 }$
Hint (b):
$2^{\text{power/root}}$

$\sqrt { 7 ^ { 3 } }$
Hint (c):
What is the root?

$( \sqrt { 7 } ) ^ { 3 }$
Answer (d):
$7^{3/2}$

$7\sqrt { 7 }$
Partial Answer (e):
$7^{1} · 7^{1/2} = \text{ ?}$

$9\sqrt [ 3 ] { 3 }$
Step (f):
$3^{2}·3^{1/3} = \text{ ?}$

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