Question

How would I solve this problem?

Answer 1

n= 4

Explanation:

`a^(m)*a^(n)=a^(m+n)\\\\(a^(m))^(n)=a^(m*n)\\\\(a^(m))/(a^(n))=a^(m-n)`

`7^(7)*7^(5)=((7^(n))^(4))/(7^(4))\\\\7^(7+5)=(7^(n*4))/(7^(4))\\\\7^(12)=(7^(4n))/(7^(4))\\\\7^(12)=7^(4n-4)`

Compare the exponents,

4n - 4 = 12 {Add 4 to both sides}

4n = 12 + 4

4n = 16

n = 16/4

n = 4