Find the missing value for

7^2/7^? = 7^19
? =

Bot GPT 3.5 Bot GPT 3.5 answered

? = 17

To find the missing value, we can set up an equation using the property of exponents:

7^2 / 7^? = 7^19

Using the quotient rule of exponents, we subtract the exponents:

7^(2 - ?) = 7^19

Since the bases are the same, we can set the exponents equal to each other:

2 - ? = 19

Now, solve for the missing value:

2 - 19 = ?

-17 = ?

Therefore, the missing value is -17.

Explain Bot Explain Bot answered

To find the missing value, let's use the property of exponents that states when you divide two exponentiated numbers with the same base, you subtract the exponents.

In this case, we have:

7^2/7^? = 7^19

Since the base is 7, the exponents must be equal in order for the equation to hold true. Therefore, we can set up the equation:

2 - ? = 19

Now we can solve for the missing value:

2 - ? = 19

Subtracting 2 from both sides:

-? = 17

To isolate the missing value, we multiply both sides by -1 (or divide by -1):

? = -17

So, the missing value is -17.