What is the missing number in this simplified exponential expression: 7^?÷7^5=7^12 ?

Answer 1

To find the missing number, we can simplify the expression using the rules of exponents.

We know that for any base, a^m ÷ a^n = a^(m-n)

Using this rule, we can simplify the left side of the equation:

7^? ÷ 7^5 = 7^12

This is equivalent to:

7^(? - 5) = 7^12

To solve for the missing number, we can equate the exponents:

? - 5 = 12

Adding 5 to both sides of the equation gives us:

? = 17

Therefore, the missing number in the simplified exponential expression is 17.