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

$5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} }$

$= 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5}$