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Popular >

simplify (u^{-2})^5

Solution

simplify

(u^{- 2})^{5}

Solution

\frac{1}{u ^{10}}

Solution steps

(u^{- 2})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= u^{- 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= u^{- 10}

Apply exponent rule:

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

u^{- 10} = \frac{1}{u ^{10}}

= \frac{1}{u ^{10}}

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Frequently Asked Questions (FAQ)

What is (u^{-2})^5 ?
The solution to (u^{-2})^5 is 1/(u^{10)}