What is sqrt(9a^6b^{-4)} ?

The solution to sqrt(9a^6b^{-4)} is (3a^3)/(b^2)

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simplify sqrt(9a^6b^{-4)}

simplify

9 a^{6} b^{- 4}

\frac{3 a ^{3}}{b ^{2}}

Solution steps

9 a^{6} b^{- 4}

9 a^{6} b^{- 4} = 9 a^{6} b^{- 4}

= 9 a^{6} b^{- 4}

9 = 3

= 3 a^{6} b^{- 4}

Simplify

a^{6} : a^{3}

= 3 a^{3} b^{- 4}

Simplify

b^{- 4} : \frac{1}{b ^{2}}

= 3 a^{3} \frac{1}{b ^{2}}

Apply the fraction rule:

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

= \frac{3 a ^{3} \cdot 1}{b ^{2}}

Multiply the numbers:

3 \cdot 1 = 3

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

- \frac{1}{3} (2)

ln (\frac{2}{5})

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