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Popular >

simplify (2^3)/((3a)^{-2)}

Solution

simplify

\frac{2 ^{3}}{( 3 a ) ^{- 2}}

Solution

72 a^{2}

Solution steps

\frac{2 ^{3}}{( 3 a ) ^{- 2}}

2^{3} = 8

= \frac{8}{( 3 a ) ^{- 2}}

Simplify

(3 a)^{- 2} : \frac{1}{9 a ^{2}}

= \frac{8}{\frac{1}{9 a ^{2}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{8 \cdot 9 a ^{2}}{1}

Cancel

\frac{8 \cdot 9 a ^{2}}{1} : 72 a^{2}

= 72 a^{2}

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Frequently Asked Questions (FAQ)

What is (2^3)/((3a)^{-2)} ?
The solution to (2^3)/((3a)^{-2)} is 72a^2