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Popular >

simplify w^{-2}w^{-4}w^5

Solution

simplify

w^{- 2} w^{- 4} w^{5}

Solution

\frac{1}{w}

Solution steps

w^{- 2} w^{- 4} w^{5}

Apply exponent rule:

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

w^{- 2} w^{- 4} w^{5} = w^{- 2 - 4 + 5}

= w^{- 2 - 4 + 5}

Add/Subtract the numbers:

- 2 - 4 + 5 = - 1

= w^{- 1}

Apply exponent rule:

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

w^{- 1} = \frac{1}{w}

= \frac{1}{w}

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Frequently Asked Questions (FAQ)

What is w^{-2}w^{-4}w^5 ?
The solution to w^{-2}w^{-4}w^5 is 1/w