6^5 divided by 6^3 I know the answer is 36 but I am not sure how to show my work

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

6^5 / 6^3

Solution:

In order to divide a number with exponent, we apply the laws of exponent for division. 

The laws of exponent for division can be represented as;

 a^n/b^n = n-n

It states that when dividing numbers that have exponent, we subtract the exponents of the number

6^5 / 6^3

= 6^5-3

= 6^2

= 36

 

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