What is sqrt(81x^6y^{-4)} ?

The solution to sqrt(81x^6y^{-4)} is (9x^3)/(y^2)

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simplify sqrt(81x^6y^{-4)}

simplify

81 x^{6} y^{- 4}

\frac{9 x ^{3}}{y ^{2}}

Solution steps

81 x^{6} y^{- 4}

81 x^{6} y^{- 4} = 81 x^{6} y^{- 4}

= 81 x^{6} y^{- 4}

81 = 9

= 9 x^{6} y^{- 4}

Simplify

x^{6} : x^{3}

= 9 x^{3} y^{- 4}

Simplify

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

= 9 x^{3} \frac{1}{y ^{2}}

Apply the fraction rule:

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

= \frac{9 x ^{3} \cdot 1}{y ^{2}}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{9 x ^{3}}{y ^{2}}

(- 5) + (- 2)

(- 5) + (- 3)

\frac{4}{5} x^{2} \frac{2}{3}

\frac{6}{2 10}

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