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Popular >

simplify 25^{-1/2}

Solution

simplify

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

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

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}

Popular Examples

factor 4x^2+4x factor

4 x^{2} + 4 x

(x+1)^2=2(x-1)^2

(x + 1)^{2} = 2 (x - 1)^{2}

x/3 =(5x-9)/4-(x-1)/2

\frac{x}{3} = \frac{5 x - 9}{4} - \frac{x - 1}{2}

factor 2k^2+k-10 factor

2 k^{2} + k - 10

simplify 4^{-6}simplify

4^{- 6}

Frequently Asked Questions (FAQ)

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