Question

Explain how the Quotient of Powers was used to simplify this expression. (2 points) 2 to the fifth power, over 8 = 22

Answer 1

2^5/8
2^5/2^3
2^(5-3)
2^2
=4

Answer 2

The Quotient of Powers Rule helps to simplify exponents.

That is, If our expression is
`(a^m)/(a^n)`

Then after applying Quotient of Powers Rule,

We can write,
`(a^m)/(a^n)=a^(m-n)`

Here our expression, 2 to the fifth power over 8 =
`( 2 ^5)/(8)`

=
`( 2 ^5)/(2^3)`

=
`2^(5-3)` ( By applying quotient of power rule)

=
`2^(2)`

= 4