Question

Simplify: 

i. 5⁴ x 5³

ii. (2/3)⁶ ÷ (2/3)⁹

iii. (7/2)⁸ x (7/2)^-6

iv. (4/5)² ÷ (5/4)

Answer 1

i. 5⁴ x 5³

= 5⁴⁺³

= 5⁷

ii. (2/3)⁶ ÷ (2/3)⁹

= (2/3)^6-9

= (2/3)^-3 = (3/2)³

iii. (7/2)⁸ x (7/2)^-6

= (7/2)^{8 + (-6)}

= (7/2)²

iv. (4/5)² ÷ (5/4)

= (4/5)² x (4/5)

= (4/5)^{2 + 1} = (4/5)³