Question

simplify and write answer with positive exponent (2‐¹+5‐¹)(4/5)‐¹​

Answer 1

Answer:

$\frac{7}{8}$

Step-by-step explanation:

$( {2}^{ - 1} + {5 }^{ - 1} ){( \frac{4}{5} )}^{ - 1} \\ = ( \frac{1}{2} + \frac{1}{5} )( \frac{5}{4} ) \\ = \frac{5 + 2}{10} ( \frac{5}{4} ) \\ = \frac{7}{10} \times \frac{5}{4} \\ = \frac{7}{8}$