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Popular >

simplify (5x)^{-1/2}

Solution

simplify

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

Solution

\frac{1}{5 ^{\frac{1}{2}} x ^{\frac{1}{2}}}

Solution steps

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

Apply exponent rule:

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

(5 x)^{- \frac{1}{2}} = \frac{1}{( 5 x ) ^{\frac{1}{2}}}

= \frac{1}{( 5 x ) ^{\frac{1}{2}}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x)^{\frac{1}{2}} = 5^{\frac{1}{2}} x^{\frac{1}{2}}

= \frac{1}{5 ^{\frac{1}{2}} x ^{\frac{1}{2}}}

Popular Examples

|(6x+1)/(x-1)|=3

\frac{6 x + 1}{x - 1} = 3

factor 28x^2+x-2 factor

28 x^{2} + x - 2

simplify (-9)/(14)+7/6 simplify

\frac{- 9}{14} + \frac{7}{6}

- 0.4 = 3 g - 0.9

simplify 5x^{-1/2}simplify

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

Frequently Asked Questions (FAQ)

What is (5x)^{-1/2} ?
The solution to (5x)^{-1/2} is 1/(5^{1/2)x^{1/2}}