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Popular >

simplify u^3uu^{-7}

Solution

simplify

u^{3} \cdot u \cdot u^{- 7}

Solution

\frac{1}{u ^{3}}

Solution steps

u^{3} u u^{- 7}

Apply exponent rule:

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

u^{3} u u^{- 7} = u^{3 + 1 - 7}

= u^{3 + 1 - 7}

Add/Subtract the numbers:

3 + 1 - 7 = - 3

= u^{- 3}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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