What is x^{-2}y^{-4} ?

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

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simplify x^{-2}y^{-4}

simplify

x^{- 2} y^{- 4}

\frac{1}{x ^{2} y ^{4}}

Solution steps

x^{- 2} y^{- 4}

Apply exponent rule:

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

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

= \frac{1}{x ^{2}} y^{- 4}

Apply exponent rule:

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

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

= \frac{1}{x ^{2}} \cdot \frac{1}{y ^{4}}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{x ^{2} y ^{4}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{x ^{2} y ^{4}}

\frac{3 a ^{3}}{a}

(- 8) - 4

\frac{- 1}{2} \cdot (- 2)

\frac{14}{7}