apply the quotient rule of exponent to simplify 9 to the 8 power / 9 to the 6 power as an equivalent expression
To simplify the expression 9^8/9^6 using the quotient rule of exponents, we subtract the exponents.
According to the quotient rule, when dividing two numbers with the same base, we subtract the exponents:
a^m / a^n = a^(m-n)
So, applying this rule to our expression:
9^8 / 9^6 = 9^(8-6) = 9^2
Therefore, 9^8 / 9^6 simplifies to 9^2.