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受欢迎的代数 >

化简 (4/5 a^2)^2

解答

化简

(\frac{4}{5} a^{2})^{2}

解答

\frac{16 a ^{4}}{25}

求解步骤

(\frac{4}{5} a^{2})^{2}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{4}{5} a^{2})^{2} = (\frac{4}{5})^{2} (a^{2})^{2}

= (\frac{4}{5})^{2} (a^{2})^{2}

(\frac{4}{5})^{2} = \frac{16}{25}

= \frac{16}{25} (a^{2})^{2}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

(a^{2})^{2} = a^{2 \cdot 2}

= \frac{16}{25} a^{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

= \frac{16}{25} a^{4}

分式相乘:

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

= \frac{16 a ^{4}}{25}

流行的例子

n - 43 = 5

化简 (1+1/0)^0

s im pl i f y (1 + \frac{1}{0})^{0}

u^{2} + 18 u - 19 = 0

化简 (20!)/(5!15!)

s im pl i f y \frac{20 !}{5 ! 15 !}

- 3 ∣ 5 - 4 x ∣ + 4 = 3