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Popular >

simplify (25)^{-1/2}

Solution

simplify

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

Solution

\frac{1}{5}

+1

Solution steps

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

Factor the number:

25 = 5^{2}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

2 (- \frac{1}{2}) = - 1

= 5^{- 1}

Apply exponent rule:

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

5^{- 1} = \frac{1}{5}

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is (25)^{-1/2} ?
The solution to (25)^{-1/2} is 1/5