8^? ÷ 8^7= 8^13

1 answer

To solve this problem, you can use the exponent rule for division which states that when you divide two numbers with the same base, you subtract the exponents.

In this case, 8^? ÷ 8^7 can be written as 8^(?) - 7.

The equation becomes 8^(?) - 7 = 8^13.

Since the bases are the same, the exponents must be equal. Therefore, ? - 7 = 13.

Solving for ?, we add 7 to both sides of the equation: ? = 20.

Therefore, 8^? ÷ 8^7 = 8^20.