化简 (156.96^2)/(117.72^2)

解答

化简

\frac{156.9 6 ^{2}}{117.7 2 ^{2}}

1.77777 \dots

求解步骤

\frac{156.9 6 ^{2}}{117.7 2 ^{2}}

使用指数法则:

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

\frac{156.9 6 ^{2}}{117.7 2 ^{2}} = (\frac{156.96}{117.72})^{2}

= (\frac{156.96}{117.72})^{2}

使用指数法则:

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

= \frac{156.9 6 ^{2}}{117.7 2 ^{2}}

156.9 6^{2} = 24636.4416

= \frac{24636.4416}{117.7 2 ^{2}}

117.7 2^{2} = 13857.9984

= \frac{24636.4416}{13857.9984}

数字相除:

\frac{24636.4416}{13857.9984} = 1.77777 \dots

= 1.77777 \dots

s im pl i f y 6.8 \cdot 1 0^{- 4} \cdot 57

s im pl i f y (6 a^{3})^{2}

s im pl i f y 15 e^{- 0.15 (4.63)}

s im pl i f y e^{- 8 t}

s im pl i f y [(2^{3})^{- 2}]^{0.5} \cdot [(0.5)^{0.75}]^{- 4}