What is the missing number in this simplified exponential expression: 7^?÷7^5=7^12 ?
The missing number in this simplified exponential expression is 17.
To find the missing number in this simplified exponential expression, we need to understand the properties of exponents.
When dividing exponential expressions with the same base, you subtract the exponents. So, the expression can be rewritten as:
7^? - 7^5 = 7^12
Since the bases are the same, we can now set the exponents equal to each other:
? - 5 = 12
To solve for the missing number, we can add 5 to both sides of the equation:
? = 12 + 5
Simplifying the right side:
? = 17
Therefore, the missing number in the simplified exponential expression is 17.
To find the missing number in this simplified exponential expression, we need to use the properties of exponents.
The given equation is:
7^? ÷ 7^5 = 7^12
We know that when dividing two numbers with the same base, we subtract their exponents. So we can rewrite the equation using the exponent property of division like this:
7^(? - 5) = 7^12
Now, in order for the equation to be true, the exponents on both sides of the equation must be equal. Therefore, we can set up the equation:
? - 5 = 12
To solve for the missing number (?), we add 5 to both sides of the equation:
? = 12 + 5
Thus, the missing number in the simplified exponential expression is:
? = 17