What is (16x^{-6}y^2)^{-1/2} ?

The solution to (16x^{-6}y^2)^{-1/2} is (x^3)/(4y)

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simplify (16x^{-6}y^2)^{-1/2}

simplify

(16 x^{- 6} y^{2})^{- \frac{1}{2}}

\frac{x ^{3}}{4 y}

Solution steps

(16 x^{- 6} y^{2})^{- \frac{1}{2}}

Apply exponent rule:

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

(16 x^{- 6} y^{2})^{- \frac{1}{2}} = \frac{1}{( 16 x ^{- 6} y ^{2} ) ^{\frac{1}{2}}}

= \frac{1}{( 16 x ^{- 6} y ^{2} ) ^{\frac{1}{2}}}

Simplify

(16 x^{- 6} y^{2})^{\frac{1}{2}} : \frac{4 y}{x ^{3}}

= \frac{1}{\frac{4 y}{x ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{3}}{4 y}

\frac{1}{2} \cdot 1

\frac{1}{5} (\frac{1}{4} [\frac{1}{3} (\frac{1}{2} x - 3) - 2] - 1) - 2 = 1

\frac{3}{4} \cdot \frac{7}{8}

8 - (2 - x) = 2 x

x^{2} + 13 x y + 36 y^{2}

What is (16x^{-6}y^2)^{-1/2} ?
The solution to (16x^{-6}y^2)^{-1/2} is (x^3)/(4y)