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Popular >

simplify b^3(3b^{-1})^{-2}

Solution

simplify

b^{3} (3 b^{- 1})^{- 2}

Solution

\frac{b ^{5}}{9}

Solution steps

b^{3} (3 b^{- 1})^{- 2}

Simplify

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

= b^{3} \frac{b ^{2}}{9}

Apply the fraction rule:

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

= \frac{b ^{3} b ^{2}}{9}

Simplify

b^{3} b^{2} : b^{5}

= \frac{b ^{5}}{9}

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Frequently Asked Questions (FAQ)

What is b^3(3b^{-1})^{-2} ?
The solution to b^3(3b^{-1})^{-2} is (b^5)/9