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Popular >

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

Solution

simplify

y^{- 2} y^{- 3}

Solution

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

Solution steps

y^{- 2} y^{- 3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{- 2} y^{- 3} = y^{- 2 - 3}

= y^{- 2 - 3}

Subtract the numbers:

- 2 - 3 = - 5

= y^{- 5}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is y^{-2}y^{-3} ?
The solution to y^{-2}y^{-3} is 1/(y^5)