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Popular >

simplify y^{-3/2}*y^{-1}

Solution

simplify

y^{- \frac{3}{2}} \cdot y^{- 1}

Solution

\frac{1}{y ^{\frac{5}{2}}}

Solution steps

y^{- \frac{3}{2}} y^{- 1}

Apply exponent rule:

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

y^{- \frac{3}{2}} y^{- 1} = y^{- \frac{3}{2} - 1}

= y^{- \frac{3}{2} - 1}

- \frac{3}{2} - 1 = - \frac{5}{2}

= y^{- \frac{5}{2}}

Apply exponent rule:

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

y^{- \frac{5}{2}} = \frac{1}{y ^{\frac{5}{2}}}

= \frac{1}{y ^{\frac{5}{2}}}

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Frequently Asked Questions (FAQ)

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