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Popular >

simplify x^2*x^{-4}

Solution

simplify

x^{2} \cdot x^{- 4}

Solution

\frac{1}{x ^{2}}

Solution steps

x^{2} x^{- 4}

Apply exponent rule:

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

x^{2} x^{- 4} = x^{2 - 4}

= x^{2 - 4}

Subtract the numbers:

2 - 4 = - 2

= x^{- 2}

Apply exponent rule:

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

x^{- 2} = \frac{1}{x ^{2}}

= \frac{1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is x^2*x^{-4} ?
The solution to x^2*x^{-4} is 1/(x^2)