What is 500000(1+(0.04)/4)^{-20} ?

The solution to 500000(1+(0.04)/4)^{-20} is (500000*100^{20})/(101^{20)}

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simplify 500000(1+(0.04)/4)^{-20}

simplify

500000 (1 + \frac{0.04}{4})^{- 20}

\frac{500000 \cdot 10 0 ^{20}}{10 1 ^{20}}

Solution steps

500000 (1 + \frac{0.04}{4})^{- 20}

Apply exponent rule:

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

(1 + \frac{0.04}{4})^{- 20} = \frac{1}{( 1 + \frac{0.04}{4} ) ^{20}}

= 500000 \cdot \frac{1}{( 1 + \frac{0.04}{4} ) ^{20}}

(1 + \frac{0.04}{4})^{20} = \frac{10 1 ^{20}}{10 0 ^{20}}

= 500000 \cdot \frac{1}{\frac{10 1 ^{20}}{10 0 ^{20}}}

Apply the fraction rule:

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

= 500000 \cdot \frac{10 0 ^{20}}{10 1 ^{20}}

500000 \cdot \frac{10 0 ^{20}}{10 1 ^{20}} = \frac{500000 \cdot 10 0 ^{20}}{10 1 ^{20}}

= \frac{500000 \cdot 10 0 ^{20}}{10 1 ^{20}}

(1000) (1.6 \cdot 1 0^{- 19})

e^{- s t} sin^{2} (t)

What is 500000(1+(0.04)/4)^{-20} ?
The solution to 500000(1+(0.04)/4)^{-20} is (500000*100^{20})/(101^{20)}