How do you simplify 3 *2 ^ 0 - 2 ^ -1?

Mar 2, 2016

$\frac{5}{2}$

Explanation:

We will need the two following rules:

• ${a}^{0} = 1$
• ${a}^{-} b = \frac{1}{a} ^ b$

The expression can then be rewritten as

$= 3 \cdot 1 - \frac{1}{2} ^ 1$

$= 3 - \frac{1}{2}$

$= \frac{6}{2} - \frac{1}{2}$

$= \frac{5}{2}$

Just pay close attention to order of operations.