What is 50000(1+(0.08)/4)^{-12} ?

The solution to 50000(1+(0.08)/4)^{-12} is (50000*50^{12})/(51^{12)}

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simplify 50000(1+(0.08)/4)^{-12}

simplify

50000 (1 + \frac{0.08}{4})^{- 12}

\frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}

Decimal Notation

39424.65877 \dots

Solution steps

50000 (1 + \frac{0.08}{4})^{- 12}

Apply exponent rule:

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

(1 + \frac{0.08}{4})^{- 12} = \frac{1}{( 1 + \frac{0.08}{4} ) ^{12}}

= 50000 \cdot \frac{1}{( 1 + \frac{0.08}{4} ) ^{12}}

(1 + \frac{0.08}{4})^{12} = \frac{5 1 ^{12}}{5 0 ^{12}}

= 50000 \cdot \frac{1}{\frac{5 1 ^{12}}{5 0 ^{12}}}

Apply the fraction rule:

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

= 50000 \cdot \frac{5 0 ^{12}}{5 1 ^{12}}

50000 \cdot \frac{5 0 ^{12}}{5 1 ^{12}} = \frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}

= \frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}

21.62 \cdot 1 0^{- 9}

1.16 \cdot 1 0^{- 3}

e^{(- \frac{t}{36.5})}

1.6 \cdot 1 0^{- 19} (3712)

(1.7) (1 0^{- 5}) (0.008)

What is 50000(1+(0.08)/4)^{-12} ?
The solution to 50000(1+(0.08)/4)^{-12} is (50000*50^{12})/(51^{12)}