Question

Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power

Answer 1

`Use\ (a^n)/(a^m)=a^(n-m)\\\\(11^8)/(11^3)=11^(8-3)=\boxed{11^5}`

Answer 2

The equivalent equation can be written as: 11^5

Explanation:

There is a relationship that can be very usefull here:

(a^b)*(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

Then, if we have:

(11^8)/(11^3) = 11^(8-3) = 11^5

This means that 11^5 is equivalent to 11 to the 8th power over 11 to the 3rd power