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Popular >

simplify 1000(1.03)^{-3}

Solution

simplify

1000 (1.03)^{- 3}

Solution

915.14165 \dots

Solution steps

1000 (1.03)^{- 3}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{1.0 3 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{1.0 3 ^{3}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{1.0 3 ^{3}}

1.0 3^{3} = 1.092727

= \frac{1000}{1.092727}

Divide the numbers:

\frac{1000}{1.092727} = 915.14165 \dots

= 915.14165 \dots

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Frequently Asked Questions (FAQ)

What is 1000(1.03)^{-3} ?
The solution to 1000(1.03)^{-3} is 915.14165…