What is the missing number in this simplified exponential expression: 8^ ? / 8 ^ 7 =8^ 13

1 answer

The missing number can be found by subtracting the exponents on both sides of the equation.

8^? / 8^7 = 8^13

Using the property of exponents that states a^m / a^n = a^(m-n), we can rewrite the equation as:

8^(? - 7) = 8^13

By comparing the exponents, we can determine that ? - 7 = 13.

Adding 7 to both sides of the equation, we find:

? = 20

Therefore, the missing number in the simplified exponential expression is 20.