which expression is equivalent to 4^5 x 4^-2

Question

A1/4^7
B4^7
C4^4
D4^3

Answer 1

4^5 x 4^-2 can be simplified as:

4^5 x 1/4^2

Using the properties of exponents, we can subtract the exponents when multiplying the same base:

4^(5 - 2)

4^3

Therefore, the expression is equivalent to D) 4^3.