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Popular >

simplify 225^{-1/2}

Solution

simplify

22 5^{- \frac{1}{2}}

Solution

\frac{1}{15}

+1

Decimal Notation

0.06666 \dots

Solution steps

22 5^{- \frac{1}{2}}

Factor the number:

225 = 1 5^{2}

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

Apply exponent rule:

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

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

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

= 1 5^{- 1}

Apply exponent rule:

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

1 5^{- 1} = \frac{1}{15}

= \frac{1}{15}

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4 p \cdot (4 p - 1) - 3 \cdot (4 p - 1)^{2}

factor 2a^2-12ab+18b^2 factor

2 a^{2} - 12 ab + 18 b^{2}

Frequently Asked Questions (FAQ)

What is 225^{-1/2} ?
The solution to 225^{-1/2} is 1/15