Question

Question 7 (Worth 1 points) (01.03 MC) What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3? 3 over 2 3 to the power of 2 over 2 to the power of 2 3 to the power of 2 over 2 2 to the power of 4 over 3

Answer 1

3 over 2

Explanation:

Given the expression

`(3^(-4) * 2^3 * 3^2)/(2^4 * 3^(-3))`

Using the law of indices to simplify

`= (3^(-4) * 3^2 * 2^3)/(2^4 * 3^(-3))\\= (3^(-4+2) * 2^3)/(2^4 * 3^(-3))\\= (3^(-2) * 2^3)/(2^4 * 3^(-3))\\= (3^(-2))/(3^(-3)) * (2^3)/(2^4) \\= 3^(-2+3) * 2^(3-4)\\= 3^1 * 2^(-1)\\= 3 * (1)/(2)\\= (3)/(2)`

Hence option A is correct 3 over 2