What is 1000(1+0.08)^{-4} ?

The solution to 1000(1+0.08)^{-4} is 735.02985…

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simplify 1000(1+0.08)^{-4}

simplify

1000 (1 + 0.08)^{- 4}

735.02985 \dots

Solution steps

1000 (1 + 0.08)^{- 4}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{( 1 + 0.08 ) ^{4}}

Add the numbers:

1 + 0.08 = 1.08

= 1000 \cdot \frac{1}{1.0 8 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{1.0 8 ^{4}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{1.0 8 ^{4}}

1.0 8^{4} = 1.36048896

= \frac{1000}{1.36048896}

Divide the numbers:

\frac{1000}{1.36048896} = 735.02985 \dots

= 735.02985 \dots

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1.6 \cdot 1 0^{- 19} \cdot 40