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Popular >

simplify (x^{-2})^2

Solution

simplify

(x^{- 2})^{2}

Solution

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

Solution steps

(x^{- 2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

= x^{- 2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= x^{- 4}

Apply exponent rule:

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

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

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

Popular Examples

simplify 32.5*1/(71.1)*4/4*56.11 simplify

32.5 \cdot \frac{1}{71.1} \cdot \frac{4}{4} \cdot 56.11

5^{x^{2}} > 2^{x}

-2/3 ln(1-9^{3/2})=0+C

- \frac{2}{3} ln (1 - 9^{\frac{3}{2}}) = 0 + C

factor 4-x^2 factor

4 - x^{2}

\frac{3}{2} x = 1

Frequently Asked Questions (FAQ)

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