What is 1000(1-0.006)^{-10} ?

The solution to 1000(1-0.006)^{-10} is 1062.02846…

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simplify 1000(1-0.006)^{-10}

simplify

1000 (1 - 0.006)^{- 10}

1062.02846 \dots

Solution steps

1000 (1 - 0.006)^{- 10}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{( 1 - 0.006 ) ^{10}}

Subtract the numbers:

1 - 0.006 = 0.994

= 1000 \cdot \frac{1}{0.99 4 ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{0.99 4 ^{10}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{0.99 4 ^{10}}

0.99 4^{10} = 0.94159 \dots

= \frac{1000}{0.94159 \dots}

Divide the numbers:

\frac{1000}{0.94159 \dots} = 1062.02846 \dots

= 1062.02846 \dots

1 \cdot 1 0^{- 3.58}

e^{- 7.3}

10 e^{- 0.2}

\frac{( X + 2 ) ^{- 9}}{( X + 2 ) ^{- 5}}

What is 1000(1-0.006)^{-10} ?
The solution to 1000(1-0.006)^{-10} is 1062.02846…