What is (x^{-2})(1/2) ?

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

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simplify (x^{-2})(1/2)

simplify

(x^{- 2}) (\frac{1}{2})

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

Solution steps

(x^{- 2}) (\frac{1}{2})

Simplify

(x^{- 2}) (\frac{1}{2}) : x^{- 2} \frac{1}{2}

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Multiply the numbers:

1 \cdot 1 = 1

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

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

8 - 2 y = 3 y - 2

6 x^{2} - x y - 2 y^{2}

x^{2} - 3 x + 10 = 20

\frac{1}{3} + \frac{1}{6} + \frac{1}{12}

4 5^{\frac{3}{2}} \cdot 4 5^{2}