What is the missing number in this simplified exponential expression:
7^? ÷ 7^5 = 7^12 ?
The missing number in the simplified exponential expression is 7.
7^? ÷ 7^5 = 7^12
To solve this equation, we can use the properties of exponents. When dividing the same base with different exponents, we subtract the exponents.
Therefore, the equation becomes:
7^(? - 5) = 7^12
Since the bases are the same, the exponents on both sides of the equation must be equal.
Therefore, ? - 5 = 12
Solving for ?, we add 5 to both sides:
? = 12 + 5
? = 17
So, the missing number in the simplified exponential expression is 17.
To find the missing number in this exponential expression, we can use the properties of exponents. In particular, when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, we have 7 raised to some exponent, denoted by "?", divided by 7 raised to 5, which is equal to 7 raised to 12.
To solve this, we can subtract the exponents:
7^? ÷ 7^5 = 7^(? - 5) = 7^12.
Now, we have an equation:
? - 5 = 12.
To find the missing number "?", we can solve this equation by adding 5 to both sides:
? = 12 + 5 = 17.
Therefore, the missing number in the simplified exponential expression is 17.
To find the missing number in the simplified exponential expression, let's first understand the properties of exponents. When dividing two numbers with the same base, subtract the exponents. So, in this case:
7^? ÷ 7^5 = 7^12
We know that the bases are the same (7), so we can subtract the exponents:
? - 5 = 12
To solve this equation for the missing number, we need to isolate "?". Adding 5 to both sides of the equation gives us:
? = 12 + 5
Simplifying further:
? = 17
Therefore, the missing number in the simplified exponential expression is 17.