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Popular >

simplify 500*1.25^{-4}

Solution

simplify

500 \cdot 1.2 5^{- 4}

Solution

204.8

Solution steps

500 \cdot 1.2 5^{- 4}

Apply exponent rule:

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

1.2 5^{- 4} = \frac{1}{1.2 5 ^{4}}

= 500 \cdot \frac{1}{1.2 5 ^{4}}

1.2 5^{4} = 2.44140625

= 500 \cdot \frac{1}{2.44140625}

Divide the numbers:

\frac{1}{2.44140625} = 0.4096

= 500 \cdot 0.4096

Multiply the numbers:

500 \cdot 0.4096 = 204.8

= 204.8

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Frequently Asked Questions (FAQ)

What is 500*1.25^{-4} ?
The solution to 500*1.25^{-4} is 204.8