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Question

# Use the rule from Exercise 4 to simplify each expression. a. $5^{3}2^{3}$ b. $4^{6}25^{6}$ c. $9^{10}\left(\dfrac{1}{9}\right)^{10}$ d. $20^{4}\left(\dfrac{1}{10}\right)^{4}$ e. $20^{4}5^{4}$ f. $\left(\dfrac{4}{3}\right)^{4}\left(\dfrac{15}{2}\right)^{4}$

Solution

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Answered 2 years ago
Answered 2 years ago
Step 1
1 of 7

a. Expression:

$5^{3}2^{3}$

Apply power of product property to condense the expression:

$=(5\cdot2)^{3}$

Simplify:

$=(10)^{3}$

Evaluate the numerical value of this power:

$=1000$

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