Simplify to a single power of 2 : $$ \frac{2^{8}}{2^{5}} $$

Question

UpStudy AI · Accepted Answer

1. Start with the expression:
   $$
   \frac{2^{8}}{2^{5}}
   $$

2. Use the exponent division property:
   $$
   \frac{a^m}{a^n} = a^{m-n}
   $$

3. Apply the property with $$a = 2$$, $$m = 8$$, and $$n = 5$$:
   $$
   \frac{2^{8}}{2^{5}} = 2^{8-5}
   $$

4. Simplify the exponent:
   $$
   2^{8-5} = 2^3
   $$

Thus, the simplified expression is:
$$
2^3
$$
The simplified expression is $$2^3$$.

Simplify to a single power of 2 : \[ \frac{2^{8}}{2^{5}} \]