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Popular >

simplify 1000^{-4/3}

Solution

simplify

100 0^{- \frac{4}{3}}

Solution

\frac{1}{10000}

+1

Decimal Notation

0.0001

Solution steps

100 0^{- \frac{4}{3}}

Factor the number:

1000 = 1 0^{3}

= (1 0^{3})^{- \frac{4}{3}}

Apply exponent rule:

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

= 1 0^{3 (- \frac{4}{3})}

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

= 1 0^{- 4}

Apply exponent rule:

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

1 0^{- 4} = \frac{1}{1 0 ^{4}}

= \frac{1}{1 0 ^{4}}

1 0^{4} = 10000

= \frac{1}{10000}

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Frequently Asked Questions (FAQ)

What is 1000^{-4/3} ?
The solution to 1000^{-4/3} is 1/10000