Question

what is the missing number in this simplified exponential expression: 7^? divided by 7^5 = 7^12???

Answer 1

are you sure?

Answer 2

To solve for the missing number, we can use the property of exponentiation that states:

7^a / 7^b = 7^(a - b).

In this case, the given expression is:

7^? / 7^5 = 7^12.

Using the aforementioned property, we can rewrite the expression as:

7^(? - 5) = 7^12.

To make the bases on both sides of the equation the same, we know that the exponents must also be equal. Therefore:

? - 5 = 12.

Adding 5 to both sides of the equation:

? = 12 + 5.

Simplifying:

? = 17.

Therefore, the missing number in the simplified exponential expression is 17.

Answer 3

Apologies for the incorrect response earlier. Let's correct the solution.

To solve for the missing number, we can use the property of exponentiation that states:

a^m / a^n = a^(m - n).

In this case, the given expression is:

7^? / 7^5 = 7^12.

Using the aforementioned property, we can rewrite the expression as:

7^(? - 5) = 7^12.

For the bases on both sides of the equation to be equal, we must have the exponents also equal. Therefore:

? - 5 = 12.

Adding 5 to both sides of the equation:

? = 12 + 5.

Simplifying:

? = 17.

Thus, the missing number in the simplified exponential expression is indeed 17. Apologies for the confusion caused earlier.