(x)1/m = (y)1/n = (z)1/p and xyz = 1. What is the value of m+n+p?

Question

kalumlankaotlqfl kalumlankaotlqfl

01-08-2017
Mathematics

contestada

(x)1/m = (y)1/n = (z)1/p and xyz = 1. What is the value of m+n+p?

Respuesta :

Otras preguntas

which city was located nearest the nile river delta

Which two numbers have a difference of 5 and a product of 3.36???

write words to match the expression. 24- ( 6+3)

what other areas beside egypt did the new kingdom pharoahs conquer

which city was located nearest the nile river delta

write words to match the expression. 24- ( 6+3)

what other areas beside egypt did the new kingdom pharoahs conquer

write words to match the expression. 24- ( 6+3)

raegana711 raegana711 · Answer 1 · 2017-08-01T18:30:30+02:00

raegana711 raegana711

01-08-2017

xyz = y^(m/n) * y * y^(p/n) = 1
which gives,
y^(m/n + 1 + p/n) = 1
But if y^k = 1, then k = 0!
So,
(m/n + 1 + p/n) = 0
m/n + n/n + p/n = 0
(m+n+p)/n = 0
m+n+p = 0

Answer Link