Simplify using the quotient rule.

Question

2^14/2^11

Answer 1

To simplify the expression \( \frac{2^{14}}{2^{11}} \) using the properties of exponents, particularly the quotient rule, we can use the rule:

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

In this case, \( a = 2 \), \( m = 14 \), and \( n = 11 \). Applying the quotient rule:

\[ \frac{2^{14}}{2^{11}} = 2^{14-11} = 2^{3} \]

Now we simplify \( 2^3 \):

\[ 2^3 = 8 \]

Thus, the simplified expression is \( 8 \).