What is sqrt(16a^8b^{-2)} ?

The solution to sqrt(16a^8b^{-2)} is (4a^4)/b

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simplify sqrt(16a^8b^{-2)}

simplify

16 a^{8} b^{- 2}

\frac{4 a ^{4}}{b}

Solution steps

16 a^{8} b^{- 2}

16 a^{8} b^{- 2} = 16 a^{8} b^{- 2}

= 16 a^{8} b^{- 2}

16 = 4

= 4 a^{8} b^{- 2}

Simplify

a^{8} : a^{4}

= 4 a^{4} b^{- 2}

Simplify

b^{- 2} : \frac{1}{b}

= 4 a^{4} \frac{1}{b}

Apply the fraction rule:

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

= \frac{4 a ^{4} \cdot 1}{b}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 a ^{4}}{b}

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