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