What is (x^{-4}x^{-5})/(yy^{-2)} ?

The solution to (x^{-4}x^{-5})/(yy^{-2)} is y/(x^9)

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simplify (x^{-4}x^{-5})/(yy^{-2)}

simplify

\frac{x ^{- 4} x ^{- 5}}{y y ^{- 2}}

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

Solution steps

\frac{x ^{- 4} x ^{- 5}}{y y ^{- 2}}

Simplify

x^{- 4} x^{- 5} : \frac{1}{x ^{9}}

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

Apply the fraction rule:

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

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

Simplify

x^{9} y y^{- 2} : \frac{x ^{9}}{y}

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

Apply the fraction rule:

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

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

(27 x^{6} y^{12})^{\frac{1}{3}}

6 + \frac{5}{3}

\frac{5}{12}

6 \frac{5}{6} - 3 \frac{1}{6}

- 0.1 (k + 0.7) - 0.9 (0.5 k - 8)

What is (x^{-4}x^{-5})/(yy^{-2)} ?
The solution to (x^{-4}x^{-5})/(yy^{-2)} is y/(x^9)