I need help. Simplify square root of 5 multiplied by the cube root of 5. A.)5 to the power of 5 over 6 B.)5 to the power of 1 over 6 C.)5 to the power of 2 over 3 D.)5 to the power of 7 over 6
Accepted Solution
A:
Simplifying 2 β 5 3 β 5 gives 5 5 6 , or approximately 3.8236.
To simplify this expression, the two rules we will use are as follows:
n β a = a 1 n a m a n = a m + n Applying these two rules, the simplification process is as follows:
2 β 5 3 β 5 = 5 1 2 5 1 3 = 5 1 2 + 1 3 = 5 5 6 β 3.8236 Using our rules of exponents, we get that simplifying 2 β 5 3 β 5 gives 5 5 6 , or approximately 3.8236.