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Popular >

simplify (64)^{-2/3}

Solution

simplify

(64)^{- \frac{2}{3}}

Solution

\frac{1}{16}

+1

Solution steps

6 4^{- \frac{2}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{- \frac{2}{3}}

Apply exponent rule:

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

= 4^{3 (- \frac{2}{3})}

3 (- \frac{2}{3}) = - 2

= 4^{- 2}

Apply exponent rule:

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

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

= \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{16}

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1.723 \cdot 1 0^{- 5}

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\frac{( 8 - x )}{25} + \frac{( 17 - x )}{140} - \frac{( x )}{10} = 0

x (5 x + 6) = 7

x + 11 = 3 x + 1

10-x=(7x)/6+1/4

10 - x = \frac{7 x}{6} + \frac{1}{4}

Frequently Asked Questions (FAQ)

What is (64)^{-2/3} ?
The solution to (64)^{-2/3} is 1/16