Question

What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2?

a. 3 over 4

b. 4 over 3

c. 4 to the power of 2 over 3

d. 3 to the power of 3 over 4

Answer 1

Writing out: 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2

(4^(-3) * 3^4 * 4*2) / (3^5 * 4^(-2))

= (4^(-3+2) * 3^4) * 3^(-5) * 4^2

= 4^(1) * 3^(-1)

= 4/3

b. 4 over 3