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Popular >

simplify 500(1.02)^{-6}

Solution

simplify

500 (1.02)^{- 6}

Solution

443.98569 \dots

Solution steps

500 (1.02)^{- 6}

Apply exponent rule:

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

= 500 \cdot \frac{1}{1.0 2 ^{6}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 500}{1.0 2 ^{6}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{1.0 2 ^{6}}

1.0 2^{6} = 1.12616 \dots

= \frac{500}{1.12616 \dots}

Divide the numbers:

\frac{500}{1.12616 \dots} = 443.98569 \dots

= 443.98569 \dots

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Frequently Asked Questions (FAQ)

What is 500(1.02)^{-6} ?
The solution to 500(1.02)^{-6} is 443.98569…