What is the missing number in this simplified exponential expression: 7^? divided by 7^5 = 7^12
The missing number in the simplified exponential expression is 7^7.
To find the missing number in this simplified exponential expression, we can use the properties of exponents.
We have the equation:
7^? / 7^5 = 7^12
When dividing two numbers with the same base, we subtract the exponents. Therefore, we can rewrite the equation as:
7^(? - 5) = 7^12
Since the bases are equal, we can equate the exponents:
? - 5 = 12
To solve for the missing number, we can add 5 to both sides of the equation:
? = 12 + 5
?=17
Therefore, the missing number in this simplified exponential expression is 17.
To find the missing number in the simplified exponential expression, we can use the properties of exponents.
In this case, we have:
\[ \frac{7^?}{7^5} = 7^{12} \]
To solve this, we need to understand the rule that states when dividing two numbers with the same base, we subtract the exponents. So, we can rewrite the equation as:
\[ 7^{? - 5} = 7^{12} \]
Since the bases are equal, we can equate the exponents:
\[ ? - 5 = 12 \]
To solve for the missing number (?), we can add 5 to both sides of the equation:
\[ ? - 5 + 5 = 12 + 5 \]
Simplifying:
\[ ? = 17 \]
Therefore, the missing number in the simplified exponential expression is 17.