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Popular >

simplify 64^{-1/2}

Solution

simplify

6 4^{- \frac{1}{2}}

Solution

\frac{1}{8}

+1

Solution steps

6 4^{- \frac{1}{2}}

Factor the number:

64 = 8^{2}

= (8^{2})^{- \frac{1}{2}}

Apply exponent rule:

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

= 8^{2 (- \frac{1}{2})}

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

= 8^{- 1}

Apply exponent rule:

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

8^{- 1} = \frac{1}{8}

= \frac{1}{8}

Popular Examples

3^{2} + x^{2} = 5^{2}

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54 a^{4} + 16 a b^{3}

3 = 1 - x^{2}

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\frac{1}{5 ^{- 3}}

simplify-7/2*(-7/5)simplify

- \frac{7}{2} \cdot (- \frac{7}{5})

Frequently Asked Questions (FAQ)

What is 64^{-1/2} ?
The solution to 64^{-1/2} is 1/8