Question

Simplify
7^8x 7^3x 7^4
———————-
7^9x 7^5

Answer 1

7^1

Explanation:

since all the bases are same, we're going to use the law (a^m × a^n = a^m+n)

8+3+4= 15, hence, it's 7^15

we'll apply the same law for the denominator, 9+5= 14, so we'll get 7^15 ÷ 7^14

next we're gonna use the law (a^m ÷ a^n = a^m-n where m>n)

15-14 = 1

so our final answer is 7^1

Answer 2

7

Explanation:

`a^(m)*a^(n)=a^(m+n)\\\\\\(a^(m))/(a^(n))=a^(m-n)\\\\\\(7^(8)*7^(3)*7^(4))/(7^(9)*7^(5))=(7^(8+3+4))/(7^(9+5))\\\\=(7^(15))/(7^(14))\\\\\\=7^(15-14)=7^(1)\\\\= 7`