Pageantgirlaliyah
Answered

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

Verified Answer :

apologiabiology

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

isyllus

Answer:

\(7^{-22}\)

C is correct.

Step-by-step explanation:

Given: \(\dfrac{7^{16}}{7^{12}}=\dfrac{7^{-18}{x}\)

using exponent law:

Product Rule: \(x^m\times x^n=x^{m+n}\)

If base is same in multiply add their exponent.

\(\dfrac{7^{16}}{7^{12}}=\dfrac{7^{-18}{x}\)

\(x=\dfrac{7^{-18}\cdot 7^{12}}{7^{16}}\)

\(x=7^{-18+12-16}\)

\(x=7^{-22}\)

Hence, At the place of ? is \(7^{-22}\)

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