How do you simplify (7^5 * 7^3)/7^2?

2 Answers
Dec 16, 2016

The answer is 7^6 or 117,649.

Explanation:

Here are some rules when working with exponents(powers):

a^m*a^n = a^(m+n)
a^m-a^n = a^(m-n)
a^0 = 1

where, a is any natural number(1,2,3,4...) and m and n are whole numbers(0,1,2,3,4.....) or fractions.

So, in this question,

(7^5*7^3)/7^2 = 7^(5+3-2) = 7^6 = 117,649

Dec 16, 2016

7^6 = 117649

Explanation:

Note that " "7^5xx7^3" " =" " 7^(5+3)" "=" "7^8

But " "7^8 is the same as 7^6xx7^2

Write " "(7^5xx7^3)/7^2" as "(7^6xx7^2)/7^2

7^6xx7^2/7^2" "=" "7^6xx1" "=" "7^6#