(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

What value of x makes the equation true ? 4(2x-4)=16

In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times

What value of x makes the equation true ? 4(2x-4)=16

jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music

find the circumference of a circle whose radius is 15.4cm

All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})

What value of x makes the equation true ? 4(2x-4)=16

All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})

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