Question

Simplify (
$({3}^{ - 1} + {5}^{ - 1} ) + ( \frac{2}{3} ) ^{ - 1}$
​

Answer 1

Step-by-step explanation:

just reciprocal the given question since, the exponent is negative:)

$\frac{1}{3} + \frac{1}{5} + \frac{3}{2}$

Lcm : 30

$\frac{1 \times 10 + 1 \times 6 + 1 \times 15}{30}$

$\frac{10 + 6 + 15}{30}$

$\frac{31}{30}$

hope it helps you:)

Happy Learning!

Answer 2

$\huge\color{cyan}\boxed{\colorbox{black}{\sf{ANSWER ❤}}}$

$( {3}^{ - 1} + {5}^{ - 1} ) + {( \frac{2}{3} )}^{ - 1}$

$( \frac{1}{3} + \frac{1}{5} ) + ( \frac{3}{2} )$

$\frac{1 \times 10}{3 \times 10} + \frac{1 \times 6}{5 \times 6} + \frac{3 \times 15}{2 \times 15}$

$\frac{10}{30} + \frac{6}{30} + \frac{45}{30}$

$\frac{61}{30}$

$2.03333333333...$