化简 0.0194710555^{0.77}0.0966^{-0.385}

解答

化简

0.01947 \cdot 1055 5^{0.77} \cdot 0.096 6^{- 0.385}

1055 5^{0.77} \cdot \frac{1947}{100000 \cdot 0.096 6 ^{0.385}}

十进制

60.00847 \dots

求解步骤

0.01947 \cdot 1055 5^{0.77} \cdot 0.096 6^{- 0.385}

使用指数法则:

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

0.096 6^{- 0.385} = \frac{1}{0.096 6 ^{0.385}}

= 0.01947 \cdot 1055 5^{0.77} \cdot \frac{1}{0.096 6 ^{0.385}}

0.01947 \cdot 1055 5^{0.77} \cdot \frac{1}{0.096 6 ^{0.385}} = \frac{0.01947}{0.096 6 ^{0.385}} \cdot 1055 5^{0.77}

= \frac{0.01947}{0.096 6 ^{0.385}} \cdot 1055 5^{0.77}

\frac{0.01947}{0.096 6 ^{0.385}} = \frac{1947}{100000 \cdot 0.096 6 ^{0.385}}

= \frac{1947}{100000 \cdot 0.096 6 ^{0.385}} \cdot 1055 5^{0.77}

= 1055 5^{0.77} \cdot \frac{1947}{100000 \cdot 0.096 6 ^{0.385}}

s im pl i f y π \cdot π^{t} \cdot e^{π t}

s im pl i f y 3 x^{2} + 8 \cdot 3 (x^{2} + 8)^{2}

s im pl i f y e^{x} \cdot 2 e^{2 x} \cdot 9 e^{3 x}

e x p an d, e^{- 10 t} (6 cos (30 t) + 2 sin (30 t))

s im pl i f y \frac{e ^{5}}{e ^{3}}