化简 ((40y)/(5xy))^2

解答

化简

(\frac{40 y}{5 x y})^{2}

\frac{64}{x ^{2}}

求解步骤

(\frac{40 y}{5 x y})^{2}

使用指数法则:

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

= \frac{( 40 y ) ^{2}}{( 5 x y ) ^{2}}

化简

(40 y)^{2} : 1600 y^{2}

= \frac{1600 y ^{2}}{( 5 x y ) ^{2}}

化简

(5 x y)^{2} : 25 x^{2} y^{2}

= \frac{1600 y ^{2}}{25 x ^{2} y ^{2}}

化简

\frac{1600 y ^{2}}{25 x ^{2} y ^{2}} : \frac{64}{x ^{2}}

= \frac{64}{x ^{2}}

5 (x - 1) + 10 < 5 or - 4 (x - 3) < 5

s im pl i f y (- 16)^{\frac{1}{4}}

f a c t or a (a - 7) - b (a - 7)

- 20 = 2 (x - 9)

f a c t or (x - 4)^{\frac{7}{2}} - 16 (x - 4)^{\frac{3}{2}}