What is a^{-3}b^{-5} ?

The solution to a^{-3}b^{-5} is 1/(a^3b^5)

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simplify a^{-3}b^{-5}

simplify

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

\frac{1}{a ^{3} b ^{5}}

Solution steps

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

Apply exponent rule:

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

a^{- 3} = \frac{1}{a ^{3}}

= \frac{1}{a ^{3}} b^{- 5}

Apply exponent rule:

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

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

= \frac{1}{a ^{3}} \cdot \frac{1}{b ^{5}}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{a ^{3} b ^{5}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{a ^{3} b ^{5}}

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