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Popular >

simplify y^{-9}*y^3

Solution

simplify

y^{- 9} \cdot y^{3}

Solution

\frac{1}{y ^{6}}

Solution steps

y^{- 9} y^{3}

Apply exponent rule:

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

y^{- 9} y^{3} = y^{- 9 + 3}

= y^{- 9 + 3}

Add/Subtract the numbers:

- 9 + 3 = - 6

= y^{- 6}

Apply exponent rule:

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

y^{- 6} = \frac{1}{y ^{6}}

= \frac{1}{y ^{6}}

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Frequently Asked Questions (FAQ)

What is y^{-9}*y^3 ?
The solution to y^{-9}*y^3 is 1/(y^6)