Question

Which of the following expressions is equivalent to 14^-3 • 14^12?

A) 14^9
B) 14^15
C) 14^(-15)
D) 14^(-9)

Answer 1

When multiplying powers with the same base, the exponents are added together. The expression 14^-3 • 14^12 simplifies to 14^9.

Step-by-step explanation:

To solve the expression 14^-3 • 14^12, we can use the properties of exponents. When multiplying powers with the same base, you add the exponents. The expression can be simplified as follows:

14^-3 • 14^12 = 14^(-3 + 12)

14^(-3 + 12) = 14^9

Therefore, the equivalent expression is 14^9.