Question

Question 9(Multiple Choice Worth 1 points) (03.01 LC) Rewrite the expression with a rational exponent as a radical expression. 32 (54)3 NI O√5 √542nd

its not 2nd one

Answer 1

(C.) √5

Explanation:

First, we can start by using exponents rule power raised to a power.

The rule says that we multiply the exponents when the one base and exponent is raised to a power:

`(a^n)^m=a^n^m`

Thus we have:

`(5^(3)/(4))^(2)/(3)\\ 5^(^(3)/(4)^*^(2)/(3)^)\\ 5^(1)/(2)`

To change this expression into a radical expression, we remember that the fraction represents exponent / index.

Thus, our exponent is 1 and our index is 2.

Putting this in context we have:

`√(5^1)=√(5)`