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Popular >

simplify 4^30.4^{-3}

Solution

simplify

4^{3} 0. 4^{- 3}

Solution

1000

Solution steps

4^{3} \cdot 0. 4^{- 3}

4^{3} = 64

= 64 \cdot 0. 4^{- 3}

Apply exponent rule:

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

0. 4^{- 3} = \frac{1}{0. 4 ^{3}}

= 64 \cdot \frac{1}{0. 4 ^{3}}

0. 4^{3} = 0.064

= 64 \cdot \frac{1}{0.064}

Divide the numbers:

\frac{1}{0.064} = 15.625

= 64 \cdot 15.625

Multiply the numbers:

64 \cdot 15.625 = 1000

= 1000

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Frequently Asked Questions (FAQ)

What is 4^30.4^{-3} ?
The solution to 4^30.4^{-3} is 1000