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Popular >

simplify 64^{-4/3}

Solution

simplify

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

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

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

Factor the number:

64 = 4^{3}

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

Apply exponent rule:

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

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

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

= 4^{- 4}

Apply exponent rule:

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

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

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

4^{4} = 256

= \frac{1}{256}

Popular Examples

2(x+10)^2-34=-26

2 (x + 10)^{2} - 34 = - 26

7 r^{2} - 5 = 2 r + 9 r^{2}

simplify (1/(h^{-2)})^{-1}*h^3 simplify

(\frac{1}{h ^{- 2}})^{- 1} \cdot h^{3}

simplify 3/2+8 simplify

\frac{3}{2} + 8

\frac{3}{8} r - 6 < 15

Frequently Asked Questions (FAQ)

What is 64^{-4/3} ?
The solution to 64^{-4/3} is 1/256