Question

Instructions: Select the correct answer from the drop-down menu.

7^16/7^12 = 7^-18/?
The missing term in the denominator is?
A.) 7^-6
B.) 7^-14
C.) 7^-22
D.) 7^22

Answer 1

remember
(x^m)/(x^n)=x^(m-n)

7^16/6^12=7^(16-12)=6=7^4

so

7^4=7^-18/?
?=7^?

7^4=7^-18/7^?
7^-18/7^?=7^(-18-?)=7^4
-18-?=4
add 18
-?=22
tmes -1
?=-22
7^-22

answer is C

Answer 2

`7^(-22)`

C is correct.

Explanation:

Given:

using exponent law:

Product Rule:
`x^m* x^n=x^(m+n)`

If base is same in multiply add their exponent.

`x=(7^(-18)\cdot 7^(12))/(7^(16))`

`x=7^(-18+12-16)`

`x=7^(-22)`

Hence, At the place of ? is
`7^(-22)`