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Popular >

simplify sqrt(x^{-2)}

Solution

simplify

x^{- 2}

Solution

\frac{1}{x}

Solution steps

x^{- 2}

Apply exponent rule:

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

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

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

1 = 1

1 = 1

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= \frac{1}{x}

Popular Examples

2 x^{2} + 5 x - 2 = 0

5 x^{2} + 7 x - 6 = 0

\frac{3 x + 6}{x - 5} > 0

simplify (sqrt(12))/4 simplify

\frac{12}{4}

simplify 1/(2^0)simplify

\frac{1}{2 ^{0}}

Frequently Asked Questions (FAQ)

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