## Related questions with answers

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

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 7a. 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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