What is the quotient of 2^3÷2^1 using the Quotient Rule of Exponents?

Question

the responses are 16 2 8 4

Answer 1

To find the quotient of \( 2^3 \div 2^1 \) using the Quotient Rule of Exponents, we can use the rule that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, \( a = 2 \), \( m = 3 \), and \( n = 1 \). Applying the Quotient Rule, we get:

\[ \frac{2^3}{2^1} = 2^{3-1} = 2^2 \]

Now, calculate \( 2^2 \):

\[ 2^2 = 4 \]

Therefore, the quotient of \( 2^3 \div 2^1 \) is \( 4 \).

The answer is 4.