3 years ago

HELPPP I WILL GIVE YOU BRAINLIEST WALLAH

Mathematics

1 answer:

Eduardwww [97]3 years ago

6 0

Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

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Which expression is equivalent to

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The equivalent expression of $\frac{(5ab)^3}{30ab^{-7}}$ is $\frac{25a^{2}b^{10}}{6}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

$\frac{(5ab)^3}{30ab^{-7}}$

Expand the numerator

$\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}$

Divide 125 and 30 by 5

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}$

Apply the law of indices

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}$

Evaluate the exponent

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}$

Hence, the equivalent expression of $\frac{(5ab)^3}{30ab^{-7}}$ is $\frac{25a^{2}b^{10}}{6}$

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brainly.com/question/2972832

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