What is 2000(1+(0.24)/4)^{-2} ?

The solution to 2000(1+(0.24)/4)^{-2} is 5000000/2809

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simplify 2000(1+(0.24)/4)^{-2}

simplify

2000 (1 + \frac{0.24}{4})^{- 2}

\frac{5000000}{2809}

Decimal Notation

1779.99288 \dots

Solution steps

2000 (1 + \frac{0.24}{4})^{- 2}

Apply exponent rule:

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

(1 + \frac{0.24}{4})^{- 2} = \frac{1}{( 1 + \frac{0.24}{4} ) ^{2}}

= 2000 \cdot \frac{1}{( 1 + \frac{0.24}{4} ) ^{2}}

(1 + \frac{0.24}{4})^{2} = \frac{2809}{2500}

= 2000 \cdot \frac{1}{\frac{2809}{2500}}

Apply the fraction rule:

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

= 2000 \cdot \frac{2500}{2809}

2000 \cdot \frac{2500}{2809} = \frac{5000000}{2809}

= \frac{5000000}{2809}

44.8 \cdot 1 0^{- 6}

(6 x^{3} y^{2}) (3 x^{2} y^{5})

\frac{1}{36 π} \cdot 1 0^{- 9}

e^{- 2 x} \cdot (- 1)

\frac{1}{a} e^{- (\frac{2}{3} x^{2})}

What is 2000(1+(0.24)/4)^{-2} ?
The solution to 2000(1+(0.24)/4)^{-2} is 5000000/2809