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Popular >

simplify 64^{-5/3}

Solution

simplify

6 4^{- \frac{5}{3}}

Solution

\frac{1}{1024}

+1

Decimal Notation

0.0009765625

Solution steps

6 4^{- \frac{5}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{- \frac{5}{3}}

Apply exponent rule:

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

= 4^{3 (- \frac{5}{3})}

3 (- \frac{5}{3}) = - 5

= 4^{- 5}

Apply exponent rule:

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

4^{- 5} = \frac{1}{4 ^{5}}

= \frac{1}{4 ^{5}}

4^{5} = 1024

= \frac{1}{1024}

Popular Examples

simplify ((x/y))/x simplify

\frac{( \frac{x}{y} )}{x}

simplify (1/3)^2+1 simplify

(\frac{1}{3})^{2} + 1

f=50(3*15+2)+230

f = 50 (3 \cdot 15 + 2) + 230

simplify ln(100)simplify

ln (100)

x^2+4x=1(16+4x)

x^{2} + 4 x = 1 (16 + 4 x)

Frequently Asked Questions (FAQ)

What is 64^{-5/3} ?
The solution to 64^{-5/3} is 1/1024