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

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

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simplify (w^4x^{-5})(w^{-2}x^{-4})

simplify

(w^{4} x^{- 5}) (w^{- 2} x^{- 4})

\frac{w ^{2}}{x ^{9}}

Solution steps

(w^{4} x^{- 5}) (w^{- 2} x^{- 4})

Simplify

w^{4} x^{- 5} : \frac{w ^{4}}{x ^{5}}

= \frac{w ^{4}}{x ^{5}} w^{- 2} x^{- 4}

Apply exponent rule:

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

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

= \frac{w ^{4}}{x ^{5}} \cdot \frac{1}{w ^{2}} x^{- 4}

Apply exponent rule:

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

x^{- 4} = \frac{1}{x ^{4}}

= \frac{w ^{4}}{x ^{5}} \cdot \frac{1}{w ^{2}} \cdot \frac{1}{x ^{4}}

Apply the fraction rule:

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

= \frac{w ^{4} \cdot 1 \cdot 1}{x ^{5} w ^{2} x ^{4}}

Simplify

w^{4} \cdot 1 \cdot 1 : w^{4}

= \frac{w ^{4}}{x ^{5} w ^{2} x ^{4}}

Simplify

\frac{w ^{4}}{w ^{2}} : w^{2}

= \frac{w ^{2}}{x ^{5} x ^{4}}

Simplify

x^{5} x^{4} : x^{9}

= \frac{w ^{2}}{x ^{9}}

(x + 2) (3 x - 4)

7 m^{5} (m + n) + 14 m^{3} (m + n)

(5 - 8 x)^{2}

\frac{5}{q + 5} + \frac{4 q}{2 q + 6}

(5 + 4 i) + (- 6 - 3 i)

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