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Popular >

simplify 2000(1.03)^{-7}

Solution

simplify

2000 (1.03)^{- 7}

Solution

1626.18302 \dots

Solution steps

2000 (1.03)^{- 7}

Apply exponent rule:

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

= 2000 \cdot \frac{1}{1.0 3 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 2000}{1.0 3 ^{7}}

Multiply the numbers:

1 \cdot 2000 = 2000

= \frac{2000}{1.0 3 ^{7}}

1.0 3^{7} = 1.22987 \dots

= \frac{2000}{1.22987 \dots}

Divide the numbers:

\frac{2000}{1.22987 \dots} = 1626.18302 \dots

= 1626.18302 \dots

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Frequently Asked Questions (FAQ)

What is 2000(1.03)^{-7} ?
The solution to 2000(1.03)^{-7} is 1626.18302…