化简 ((2^23^23^3)/9)^2*(1/3)^{-5}

解答

化简

(\frac{2 ^{2} 3 ^{2} 3 ^{3}}{9})^{2} \cdot (\frac{1}{3})^{- 5}

2834352

求解步骤

(\frac{2 ^{2} \cdot 3 ^{2} \cdot 3 ^{3}}{9})^{2} (\frac{1}{3})^{- 5}

(\frac{2 ^{2} \cdot 3 ^{2} \cdot 3 ^{3}}{9})^{2} = 11664

= 11664 (\frac{1}{3})^{- 5}

使用指数法则:

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

(\frac{1}{3})^{- 5} = \frac{1}{( \frac{1}{3} ) ^{5}}

= 11664 \cdot \frac{1}{( \frac{1}{3} ) ^{5}}

(\frac{1}{3})^{5} = \frac{1}{243}

= 11664 \cdot \frac{1}{\frac{1}{243}}

\frac{1}{\frac{1}{243}} = 243

= 11664 \cdot 243

数字相乘:

11664 \cdot 243 = 2834352

= 2834352

49 x^{2} - 84 x + 36 = 0

s im pl i f y \frac{5 !}{2 ! \cdot ( 5 - 2 ) !}

3 x + 18 - x = 46

f a c t or 3 x + 12

- 5 < \frac{3 x - 1}{4} < 0