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Popular >

simplify 144^{-1/2}

Solution

simplify

14 4^{- \frac{1}{2}}

Solution

\frac{1}{12}

+1

Solution steps

14 4^{- \frac{1}{2}}

Factor the number:

144 = 1 2^{2}

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

Apply exponent rule:

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

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

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

= 1 2^{- 1}

Apply exponent rule:

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

1 2^{- 1} = \frac{1}{12}

= \frac{1}{12}

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Frequently Asked Questions (FAQ)

What is 144^{-1/2} ?
The solution to 144^{-1/2} is 1/12