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Popular >

simplify y^4*y^{-7}

Solution

simplify

y^{4} \cdot y^{- 7}

Solution

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

Solution steps

y^{4} y^{- 7}

Apply exponent rule:

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

y^{4} y^{- 7} = y^{4 - 7}

= y^{4 - 7}

Subtract the numbers:

4 - 7 = - 3

= y^{- 3}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is y^4*y^{-7} ?
The solution to y^4*y^{-7} is 1/(y^3)