Question

What is the quotient? 7^-4/7^-9

Answer 1

Answer: 16,807

Explanation:

7^-4 = 1/7 ^ 4 = 1/2401

7^-9 = 1/7 ^ 9 = 1/40353607

1/2401 / 1/40353607 =

1/2401 x 40353607 =

16807

Answer 2

16,807

Explanation:

`(7^4)/(7^9)\\\rightarrow (x^a)/(x^b)=x^(a-b)\\=7^(4-9)\\=7^(-5)\\\rightarrow a^(-b)=(1)/(a^b)\\=(1)/(7^5)\\7^5=16807\\= 16807`