SOLUTION: use the properties of rational exponents to simplify the expression 7^1/2 * 7^3/4 (5^1/3 * 8^1/4)^3 (10^1/2 / 5)^2

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Question 843846: use the properties of rational exponents to simplify the expression
7^1/2 * 7^3/4
(5^1/3 * 8^1/4)^3
(10^1/2 / 5)^2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply exponents of same base, exponents add.
7%5E%281%2F2%29%2A7%5E%283%2F4%29=7%5E%281%2F2%2B3%2F4%29
Powers of exponents multiply

%2810%5E%281%2F2%29%2F5%29%5E2=10%2F5%5E2=10%2F25=2%2F5