Final answer:
The missing exponent in the expression 97 ÷ 92 is 5, because when dividing powers with the same base, you subtract the exponents (7 - 2 = 5).
Step-by-step explanation:
To solve the expression 97 ÷ 92 = 9[?], we can use the rule of exponents that states when dividing powers with the same base, subtract the exponents. Here, we have the same base of 9, so we subtract the exponent of the divisor (2) from the exponent of the dividend (7).
Applying this rule, we have: 97 ÷ 92 = 97-2 = 95.
Therefore, 97 ÷ 92 equals 95, and the missing exponent is 5.