Question

What is the missing number in this simplified exponential expression: 7^? / 7^5 = 7^12?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing number in this simplified exponential expression is 7.

To find the missing number, we can use the exponent rule that states "when dividing two exponential expressions with the same base, subtract the exponents."

In this case, we have 7^? / 7^5 = 7^12.

Using the exponent rule, we subtract the exponents:
? - 5 = 12.

Adding 5 to both sides of the equation, we get ? = 17.

Therefore, the missing number is 17.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the missing number in the simplified exponential expression, we need to use the property of exponents which states that when dividing two exponential expressions with the same base, we subtract the exponents.

In this case, we have the equation: 7^? / 7^5 = 7^12

Since the base is the same (which is 7), we subtract the exponents:

? - 5 = 12

To find the missing number ?, we can solve the equation:

? = 12 + 5
? = 17

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

Answer 3

[AI-generated answer — Explain Bot]

To find the missing number in this simplified exponential expression, we can apply the properties of exponents.

Given that 7^? / 7^5 = 7^12, we know that when the bases are the same, we subtract the exponents. So, we can rewrite the equation as 7^? - 7^5 = 7^12.

To solve for the missing exponent, we need to isolate the variable on one side of the equation. In this case, we can do this by subtracting 7^5 from both sides of the equation:

7^? - 7^5 = 7^12
7^? = 7^12 + 7^5

Now, since the bases are the same, we can combine the exponents on the right side of the equation:

7^? = 7^(12 + 5)
7^? = 7^17

Since the bases are the same (7), the exponents must be equal. Thus, the missing number, represented by '?', is 17.

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