Question

In the equation shown, what is the value of n? 9^7/9^n

a) n=0
b) n=7
c) n=16
d) n=2

Answer 1

The value of n, when solving the expression 9^7/9^n, is 7 according to the rules of exponents for division with the same base.

Step-by-step explanation:

The given expression is 97/9n. In order to solve for the value of n, we use the rules of exponents, specifically the division rule which states that when we divide two expressions with the same base, we subtract the exponents. Therefore, 97/9n simplifies to 97-n. The expression equals 1 if the resulting exponent is 0, which means 7-n must equal 0. Solving for n, we find that n = 7.