## kyanda17 one year ago Simplify (1/2)4.squared

1. Michele_Laino

is your expression like this: $\Large {\left( {\frac{1}{2}} \right)^4}$

2. kyanda17

yes

3. Michele_Laino

we can write this: $\Large {\left( {\frac{1}{2}} \right)^4} = \frac{1}{{{2^4}}} = ...?$

4. mathstudent55

Rule: $$\Large \left( \dfrac{a}{b} \right) ^n = \dfrac{a^n}{b^n}$$ Apply the rule: $$\Large \left( \dfrac{1}{2} \right) ^4 = \dfrac{1^4}{2^4} = \dfrac{1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 }$$ What is 1 * 1 * 1 * 1 = ? What is 2 * 2 * 2 * 2 = ?

5. anonymous

Would it not be (1/2) times (1/2) and 4 times 4?