Question

Simplify:

i. [6/7)⁵]²

ii. [(2/3)^-4]⁵

iii. [(5/8)³]^-2

iv. [(3/4)⁶]⁷

v [(2/5)^-3]²

Answer 1

i. [6/7)⁵]²

= (6/7)^{5 x 2} = (6/7)¹⁰

ii. [(2/3)^-4]⁵

= (2/3)^{(-4) x 5} = (2/3)^-20

iii. [(5/8)³]^-2

(5/8)^{3 x (-2)} = (5/8)^-6

iv. [(3/4)⁶]⁷

= (3/4)^{6 x 1} = (3/4)⁶

v. [(2/5)^-3]²

= (2/5)^{(-3) x 2} = (2/5)^-6