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Popular >

simplify (4x^{-4})^{-1/2}

Solution

simplify

(4 x^{- 4})^{- \frac{1}{2}}

Solution

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

Solution steps

(4 x^{- 4})^{- \frac{1}{2}}

Apply exponent rule:

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

(4 x^{- 4})^{- \frac{1}{2}} = \frac{1}{( 4 x ^{- 4} ) ^{\frac{1}{2}}}

= \frac{1}{( 4 x ^{- 4} ) ^{\frac{1}{2}}}

Simplify

(4 x^{- 4})^{\frac{1}{2}} : \frac{2}{x ^{2}}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Popular Examples

simplify 1+21000000/49000000 simplify

1 + \frac{21000000}{49000000}

5 x = 1 - 3 x^{2}

simplify 2(2/3)^2+5(2/3)+6 simplify

2 (\frac{2}{3})^{2} + 5 (\frac{2}{3}) + 6

∣ 2 x + 1 ∣ < 3

0 = - 2 p^{2} + 6000 p

Frequently Asked Questions (FAQ)

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