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ella [17]
3 years ago
10

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

Mathematics
2 answers:
mr_godi [17]3 years ago
7 0

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}

True [87]3 years ago
3 0
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
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