Question

simplify: (2^-1 - 3^-1)^-1 + (2^-1 - 4^-1)^-1​

Answer 1

Answer:

10

Step-by-step explanation:

${({2}^{ - 1} - {3}^{ - 1}) }^{ - 1} + {( {2}^{ - 1} - {4}^{ - 1} })^{ - 1} \\ = {( \frac{1}{2} - \frac{1}{3} )}^{ - 1} + ( { \frac{1}{2} - \frac{1}{4} )}^{ - 1} \\ = {( \frac{ 1}{6}) }^{ - 1} + { (\frac{1}{4}) }^{ - 1} \\ = 6 + 4 \\ = 10$