Question

Which expression(s) are equivalent to (5^1/8 times 5^3/8

A.) 5^3/2
B.) 5^9/8
C.) Squareroot 5^3
D.) (^8squareroot 5)^9

Answer 1

`5 {}^{ (1)/(8) } * 5 {}^{ (3)/(8) }`

`= 5 {}^{ (1 + 3)/(8) } = 5 {}^{ (4)/(8) } = 5 {}^{ (1)/(2) } = √(5)`