化简 (0.01^2)/(0.06^2)

解答

化简

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

0.02777 \dots

求解步骤

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

使用指数法则:

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

\frac{0.0 1 ^{2}}{0.0 6 ^{2}} = (\frac{0.01}{0.06})^{2}

= (\frac{0.01}{0.06})^{2}

使用指数法则:

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

= \frac{0.0 1 ^{2}}{0.0 6 ^{2}}

0.0 1^{2} = 0.0001

= \frac{0.0001}{0.0 6 ^{2}}

0.0 6^{2} = 0.0036

= \frac{0.0001}{0.0036}

数字相除:

\frac{0.0001}{0.0036} = 0.02777 \dots

= 0.02777 \dots

s im pl i f y 170 e^{- 1.58}

s im pl i f y [(\frac{8}{5})^{3}]^{4}

s im pl i f y (2^{x l n (x)})^{3}

s im pl i f y 9 e^{- 0.7 t}

s im pl i f y 1.6 \cdot 1 0^{- 13} \cdot 0.1