What is 1000(1+(0.15)/(12))^{-6} ?

The solution to 1000(1+(0.15)/(12))^{-6} is (1000*80^6)/(81^6)

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simplify 1000(1+(0.15)/(12))^{-6}

simplify

1000 (1 + \frac{0.15}{12})^{- 6}

\frac{1000 \cdot 8 0 ^{6}}{8 1 ^{6}}

Decimal Notation

928.17487 \dots

Solution steps

1000 (1 + \frac{0.15}{12})^{- 6}

Apply exponent rule:

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

(1 + \frac{0.15}{12})^{- 6} = \frac{1}{( 1 + \frac{0.15}{12} ) ^{6}}

= 1000 \cdot \frac{1}{( 1 + \frac{0.15}{12} ) ^{6}}

(1 + \frac{0.15}{12})^{6} = \frac{8 1 ^{6}}{8 0 ^{6}}

= 1000 \cdot \frac{1}{\frac{8 1 ^{6}}{8 0 ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 1000 \cdot \frac{8 0 ^{6}}{8 1 ^{6}}

1000 \cdot \frac{8 0 ^{6}}{8 1 ^{6}} = \frac{1000 \cdot 8 0 ^{6}}{8 1 ^{6}}

= \frac{1000 \cdot 8 0 ^{6}}{8 1 ^{6}}

(7.12 \cdot 1 0^{- 4}) (77.6)

e^{- x} (x + C)

(2 π)^{- 0.5} e^{(- \frac{( 3.95 ) ^{2}}{2})}

89.9 e^{- 0, 5 (2)}

- 4.8 \cdot 10 C^{- 19}

What is 1000(1+(0.15)/(12))^{-6} ?
The solution to 1000(1+(0.15)/(12))^{-6} is (1000*80^6)/(81^6)