What is 5800(1+(0.05)/4)^{-32} ?

The solution to 5800(1+(0.05)/4)^{-32} is (5800*80^{32})/(81^{32)}

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simplify 5800(1+(0.05)/4)^{-32}

simplify

5800 (1 + \frac{0.05}{4})^{- 32}

\frac{5800 \cdot 8 0 ^{32}}{8 1 ^{32}}

Decimal Notation

3897.50762 \dots

Solution steps

5800 (1 + \frac{0.05}{4})^{- 32}

Apply exponent rule:

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

(1 + \frac{0.05}{4})^{- 32} = \frac{1}{( 1 + \frac{0.05}{4} ) ^{32}}

= 5800 \cdot \frac{1}{( 1 + \frac{0.05}{4} ) ^{32}}

(1 + \frac{0.05}{4})^{32} = \frac{8 1 ^{32}}{8 0 ^{32}}

= 5800 \cdot \frac{1}{\frac{8 1 ^{32}}{8 0 ^{32}}}

Apply the fraction rule:

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

= 5800 \cdot \frac{8 0 ^{32}}{8 1 ^{32}}

5800 \cdot \frac{8 0 ^{32}}{8 1 ^{32}} = \frac{5800 \cdot 8 0 ^{32}}{8 1 ^{32}}

= \frac{5800 \cdot 8 0 ^{32}}{8 1 ^{32}}

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What is 5800(1+(0.05)/4)^{-32} ?
The solution to 5800(1+(0.05)/4)^{-32} is (5800*80^{32})/(81^{32)}