Question

BT4:Tìm x, biết:

a) \(x\div\left(\dfrac{3}{4}\right)^3=\left(\dfrac{3}{4}\right)^2\)

b) \(\left(\dfrac{2}{5}\right)^5\div x=\left(\dfrac{2}{5}\right)^8\)

Answer 1

a) x: (3/4)³=(3/4)²

x = (3/4)² . (3/4)³

x = (3/4)⁵

b)(2/5)⁵ :x = (2/5)⁸

x= (2/5)⁸ : (2/5)⁵

x= (2/5)³

Answer 2

a, \(x:\left(\dfrac{3}{4}\right)^3=\left(\dfrac{3}{4}\right)^2\)

=> \(x=\left(\dfrac{3}{4}\right)^2.\left(\dfrac{3}{4}\right)^3\)

=> \(x=\left(\dfrac{3}{4}\right)^5\)

b, \(\left(\dfrac{2}{5}\right)^5:x=\left(\dfrac{2}{5}\right)^8\)

\(x=\left(\dfrac{2}{5}\right)^5:\left(\dfrac{2}{5}\right)^8\)

\(x=\left(\dfrac{2}{5}\right)^{-3}\)