What is 3000(1+(0.05)/4)^{-4} ?

The solution to 3000(1+(0.05)/4)^{-4} is 40960000000/14348907

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simplify 3000(1+(0.05)/4)^{-4}

simplify

3000 (1 + \frac{0.05}{4})^{- 4}

\frac{40960000000}{14348907}

Decimal Notation

2854.57282 \dots

Solution steps

3000 (1 + \frac{0.05}{4})^{- 4}

Apply exponent rule:

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

(1 + \frac{0.05}{4})^{- 4} = \frac{1}{( 1 + \frac{0.05}{4} ) ^{4}}

= 3000 \cdot \frac{1}{( 1 + \frac{0.05}{4} ) ^{4}}

(1 + \frac{0.05}{4})^{4} = \frac{43046721}{40960000}

= 3000 \cdot \frac{1}{\frac{43046721}{40960000}}

Apply the fraction rule:

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

= 3000 \cdot \frac{40960000}{43046721}

3000 \cdot \frac{40960000}{43046721} = \frac{40960000000}{14348907}

= \frac{40960000000}{14348907}

e^{- 54213}

π x^{2} x^{6} x^{14}

e^{- \frac{t}{11}} \cdot e^{\frac{c}{11}}

- e^{u - v} \cdot e^{u + v}

(1.05 \cdot 1 0^{- 16}) \cdot 362226.81 6^{3}

What is 3000(1+(0.05)/4)^{-4} ?
The solution to 3000(1+(0.05)/4)^{-4} is 40960000000/14348907