what is the missing number in the simplified exponential expression 7^?/7^5=7^12
To solve for the missing number, we can use the rule of exponents that states "when dividing two powers with the same base, subtract the exponents."
In this case, we have:
7^? / 7^5 = 7^12
Using the rule of exponents, we subtract the exponents:
7^(? - 5) = 7^12
To make the bases equal on both sides of the equation, we can rewrite 7^12 as (7^5)^2, since 5 * 2 = 10:
7^(? - 5) = (7^5)^2
Now, we can compare the exponents:
? - 5 = 5 * 2
? - 5 = 10
To isolate the missing number (?), we add 5 to both sides of the equation:
? = 10 + 5
? = 15
Therefore, the missing number in the simplified exponential expression is 15.
noooooooooooooo bot it is 17
u where wrong ðŸ˜
To find the missing number in the simplified exponential expression, we can compare the exponents on both sides of the equation.
In the given equation, we have:
7^? / 7^5 = 7^12
When dividing two exponential expressions with the same base, the exponents are subtracted.
So, for this equation, we can subtract the exponents:
? - 5 = 12
To solve for the missing number, we need to isolate the variable '?'.
Adding 5 to both sides of the equation, we get:
? = 12 + 5
Simplifying further, we have:
? = 17
Therefore, the missing number in the simplified exponential expression is 17.
To find the missing number in the simplified exponential expression, we need to solve the equation:
7^x / 7^5 = 7^12
To simplify the equation, we can use the rule of exponents that states: When dividing two exponential expressions with the same base, subtract the exponents.
Here, we can rewrite the expression as:
7^(x - 5) = 7^12
Since the bases are both 7, we can conclude that the exponents must be equal.
Therefore, x - 5 = 12
To find the value of x, we can solve for x by adding 5 to both sides of the equation:
x = 12 + 5
Therefore, the missing number in the simplified exponential expression is x = 17.