What is sqrt(9x^{-4)y^6} ?

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

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simplify sqrt(9x^{-4)y^6}

simplify

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

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

Solution steps

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

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

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

9 = 3

= 3 x^{- 4} y^{6}

Simplify

y^{6} : y^{3}

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

1000 = 5200 - 60 q

\frac{9}{4} + 5

- \frac{1}{2} + \frac{1}{8}

2 x^{2} - 13 x + 17 = 0

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