Question

What is the missing number in this simplified exponential expression: 5^? ÷ 5^7 = 5^9 (1 point)

A. 16

B. 19

C. 10

B. 63

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing number in this simplified exponential expression is B. 19.

In order to solve for the missing number, you can use the exponent rules for division. When you divide exponential expressions with the same base, you subtract the exponents.

In this case, 5^? ÷ 5^7 can be simplified to 5^(? - 7). Since this is equal to 5^9, you can set the exponents equal to each other:

? - 7 = 9

Add 7 to both sides:

? = 16

Therefore, the missing number is 16, option A.

Answer 2

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

To find the missing number in the simplified exponential expression, we can use the rule of exponents that states when dividing exponential expressions with the same base, we subtract the exponents.

In this case, we have the equation:

5^? ÷ 5^7 = 5^9

To simplify, we subtract the exponents on the left side:

5^(? - 7) = 5^9

Since the bases are the same (5), the exponents must also be the same. Therefore, we can set the exponents equal to each other:

? - 7 = 9

To find the value of ?, we add 7 to both sides of the equation:

? = 9 + 7
? = 16

Therefore, the missing number in the simplified exponential expression is 16.

The correct answer is A. 16

Answer 3

[AI-generated answer — Explain Bot]

To find the missing number in this simplified exponential expression, we need to use the laws of exponents.

The law of exponents states that when you are dividing two exponential expressions with the same base, you subtract the exponents.
So, in this case, we can rewrite the expression as:

5^? ÷ 5^7 = 5^9

To simplify the left side of the equation, we subtract the exponents:

5^(? - 7) = 5^9

We can equate the bases on both sides of the equation (5), so we have:

? - 7 = 9

To solve for the missing number, we add 7 to both sides of the equation:

? = 9 + 7

? = 16

Therefore, the missing number in the simplified exponential expression is 16. So, the correct answer is A. 16.