Question

just a simple question

Answer 1

can \[\frac{ 5^k }{ 3^k+4^k } be (\frac{ 5 }{ 3+4 })^k\] ??

Answer 2

\(\large 3^k + 4^k \neq (3+4)^k\)

HOWEVER

\(\large 3^k4^k = (3\cdot 4)^k\)

Answer 3

or how about this \[(\frac{ 5 }{ 3 })^k +(\frac{ 5 }{ 4 })^k\]

Answer 4

first of all

\(\Large \frac{a}{b+c} \neq \frac{a}{b} + \frac{a}{c}\)

the rule that's similar to this is:

\(\Large \frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}\)

the first one doesn't work because you can't just add them since they don't have common denominators

Answer 5

Do you understand?

Answer 6

yeah thank you was just making sure

Answer 7

Anytime! :D