化简 150000*(1+0.03)^{-5}

解答

化简

150000 \cdot (1 + 0.03)^{- 5}

129391.31765 \dots

求解步骤

150000 (1 + 0.03)^{- 5}

使用指数法则:

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

= 150000 \cdot \frac{1}{( 1 + 0.03 ) ^{5}}

数字相加:

1 + 0.03 = 1.03

= 150000 \cdot \frac{1}{1.0 3 ^{5}}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 150000}{1.0 3 ^{5}}

数字相乘:

1 \cdot 150000 = 150000

= \frac{150000}{1.0 3 ^{5}}

1.0 3^{5} = 1.15927 \dots

= \frac{150000}{1.15927 \dots}

数字相除:

\frac{150000}{1.15927 \dots} = 129391.31765 \dots

= 129391.31765 \dots

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