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Popular >

simplify sqrt(x^{-4)}

Solution

simplify

x^{- 4}

Solution

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

Solution steps

x^{- 4}

Apply exponent rule:

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

x^{- 4} = \frac{1}{x ^{4}}

= \frac{1}{x ^{4}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{1}{x ^{4}}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{x ^{4}}

Simplify

x^{4} : x^{2}

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

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Frequently Asked Questions (FAQ)

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