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

Answer:

The Quotient of Powers Rule helps to simplify exponents.

That is, If our expression is $\frac{a^m}{a^n}$

Then after applying Quotient of Powers Rule,

We can write, $\frac{a^m}{a^n}=a^{m-n}$

Here our expression, 2 to the fifth power over 8 = $\frac{ 2 ^5}{8}$

= $\frac{ 2 ^5}{2^3}$

= $2^{5-3}$ ( By applying quotient of power rule)

= $2^{2}$

= 4