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

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

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

simplify

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

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

Solution steps

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

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

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

9 = 3

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

Simplify

y^{4} : y^{2}

= 3 x^{- 6} y^{2}

Simplify

x^{- 6} : \frac{1}{x ^{3}}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

(x - 3)^{2} + 5 (x - 3) + 8

x + 6 x

(- 6 x + 3) - (- 6 x + 8)

9150 + 24

\frac{2000}{8}