Simplify the expression using the properties of rational exponents.5 1/2 times 5 3/2

Question

5 1/2 times 5 3/2

Answer 1

When exponential expressions have the same base and are multiplied together, the exponents would add.

(5^1/2)(5^3/2) = 5^1/2+3/2 = 5^4/2 = 5² = 25