Question

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