What is 3x^{-2}y^{-5} ?

The solution to 3x^{-2}y^{-5} is 3/(x^2y^5)

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simplify 3x^{-2}y^{-5}

simplify

3 x^{- 2} y^{- 5}

\frac{3}{x ^{2} y ^{5}}

Solution steps

3 x^{- 2} y^{- 5}

Apply exponent rule:

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

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

= 3 \cdot \frac{1}{x ^{2}} y^{- 5}

Apply exponent rule:

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

y^{- 5} = \frac{1}{y ^{5}}

= 3 \cdot \frac{1}{x ^{2}} \cdot \frac{1}{y ^{5}}

Apply the fraction rule:

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

= \frac{3 \cdot 1 \cdot 1}{x ^{2} y ^{5}}

Multiply the numbers:

3 \cdot 1 \cdot 1 = 3

= \frac{3}{x ^{2} y ^{5}}

1050

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\frac{2}{3} = \frac{4}{5} k

- ln (- 1)

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