단순화 500(1+(0.05)/(12))^{-60}

해법

단순화

500 (1 + \frac{0.05}{12})^{- 60}

\frac{500 \cdot 24 0 ^{60}}{24 1 ^{60}}

솔루션 단계

500 (1 + \frac{0.05}{12})^{- 60}

지수 규칙 적용:

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

(1 + \frac{0.05}{12})^{- 60} = \frac{1}{( 1 + \frac{0.05}{12} ) ^{60}}

= 500 \cdot \frac{1}{( 1 + \frac{0.05}{12} ) ^{60}}

(1 + \frac{0.05}{12})^{60} = \frac{24 1 ^{60}}{24 0 ^{60}}

= 500 \cdot \frac{1}{\frac{24 1 ^{60}}{24 0 ^{60}}}

분수 규칙 적용:

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

= 500 \cdot \frac{24 0 ^{60}}{24 1 ^{60}}

500 \cdot \frac{24 0 ^{60}}{24 1 ^{60}} = \frac{500 \cdot 24 0 ^{60}}{24 1 ^{60}}

= \frac{500 \cdot 24 0 ^{60}}{24 1 ^{60}}