Final answer:
The expression 7¹³/7⁷ simplifies to 7¹³-7, which is equal to 7⁶ by subtracting the exponents of the like base.
Step-by-step explanation:
The question asks which expression is equivalent to 7¹³/7⁷. When dealing with exponentiation and division of the same base, we can subtract the exponents. Therefore, 7¹³/7⁷ simplifies to 7¹³-7, which equals 7⁶. There is no need to calculate the actual value of these numbers, just apply the rule that when you divide powers with the same base, you subtract the exponents.