What is 1000(1-0.06)^{-10} ?

The solution to 1000(1-0.06)^{-10} is 1856.61332…

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simplify 1000(1-0.06)^{-10}

simplify

1000 (1 - 0.06)^{- 10}

1856.61332 \dots

Solution steps

1000 (1 - 0.06)^{- 10}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{( 1 - 0.06 ) ^{10}}

Subtract the numbers:

1 - 0.06 = 0.94

= 1000 \cdot \frac{1}{0.9 4 ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{0.9 4 ^{10}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{0.9 4 ^{10}}

0.9 4^{10} = 0.53861 \dots

= \frac{1000}{0.53861 \dots}

Divide the numbers:

\frac{1000}{0.53861 \dots} = 1856.61332 \dots

= 1856.61332 \dots

3 x^{2} (2 x^{2})

6.25 \cdot 1 0^{- 6}

2.35 \cdot 1 0^{- 2}

0.6 e^{- 2}