化简 (1+(0.052)/(12))^{12}-1

解答

化简

(1 + \frac{0.052}{12})^{12} - 1

\frac{301 3 ^{12}}{300 0 ^{12}} - 1

十进制

0.05325 \dots

求解步骤

(1 + \frac{0.052}{12})^{12} - 1

化简

1 + \frac{0.052}{12} : \frac{3013}{3000}

= (\frac{3013}{3000})^{12} - 1

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{3013}{3000})^{12} = \frac{301 3 ^{12}}{300 0 ^{12}}

= \frac{301 3 ^{12}}{300 0 ^{12}} - 1

- 3 = \frac{4}{3} x

s im pl i f y \frac{365}{180} \frac{100000 - 95400}{95400}

s im pl i f y (\frac{1}{80} + \frac{1}{20})^{- 1}

\frac{4}{6} x - 3 x + \frac{8}{3} = \frac{4}{3}

f a c t or 4 u^{2} - 2 uv