# How do you simplify 4^-1 + 2^-1 / 3^-1?

Jul 31, 2016

=$\frac{1}{4} + 1 \frac{1}{2} = 1 \frac{3}{4}$

#### Explanation:

Use the law of indices which states: ${x}^{-} 1 = \frac{1}{x}$
Make all the indices positive.

${4}^{-} 1 + {2}^{-} \frac{1}{3} ^ - 1$

=$\frac{1}{4} + \frac{3}{2}$

=$\frac{1}{4} + 1 \frac{1}{2} = 1 \frac{3}{4}$