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

The solution to (x^{-2})/(y^{-6)} is (y^6)/(x^2)

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

simplify

\frac{x ^{- 2}}{y ^{- 6}}

\frac{y ^{6}}{x ^{2}}

Solution steps

\frac{x ^{- 2}}{y ^{- 6}}

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Simplify

x^{2} y^{- 6} : \frac{x ^{2}}{y ^{6}}

= \frac{1}{\frac{x ^{2}}{y ^{6}}}

Apply the fraction rule:

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

= \frac{y ^{6}}{x ^{2}}

z - 6.8 z - 5.8 = - 2.9 (z - 6)

4 x^{2} + 400 = 0

4 b^{2} - 4 b + 7 = 6

3 a^{2} + a^{3} b^{2} - 5 a^{2} b

\frac{6 ^{6}}{6 ^{3}}