Answer :
Answer:
The answer is
[tex] \frac{7}{12} [/tex]
Step-by-step explanation:
Using the rules of indices
[tex] {x}^{ - y} [/tex]
can be written as
[tex] \frac{1}{ {x}^{y} } [/tex]
So
[tex] {3}^{ - 1} [/tex]
can be written as
[tex] \frac{1}{3} [/tex]
and
[tex] {4}^{ - 1} [/tex]
as
[tex] \frac{1}{4} [/tex]
Add them
That's
[tex] \frac{1}{3} + \frac{1}{4} [/tex]
Find the LCM
The LCM of 3 and 4 is 12
We have the final answer as
[tex] \frac{1}{3} + \frac{1}{4} = \frac{4 + 3}{12} \\ = \frac{7}{12} [/tex]
Hope this helps you.