what is the missing number in the simplified exponential expression 7^?/7^5=7^12

3 answers

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 😭