kalumlankaotlqfl
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 :

raegana711
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

Otras preguntas

What is the source of more than half of Brunei’s wealth? A. manufacturing B. cash crops C. high-tech companies D. oil and natural gas l feel like it might be "B
How long ago did invertebrates become common on Earth? 1.6 million years ago 132 million years ago 410 million years ago 520 million years ago
choose the answer that correctly lists the social order, from most to least powerful, in europe during the late middle ages
A controllable factor that might impact your normal workout routine and require modifications is...A.ageB.weatherC.tediumD.injury
A school band performance performs a spring concert for a crowd of 600 people. the revenue for the concert was $3150.
While in Europe, if you drive 121 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage i
The illustration shows a kind of animal that is a free living organism what is the common name of the group that contains this organism
15 EASY POINTS !!! I am opposed to slavery and secession, but I can’t fight against my own people or my state. Who am I?
HELP ASAP!! Write a list of steps that are needed to find the measure of ∠B
Find sec(x) and csc(x) if tan(x) = 3 and cos > 0