Question

If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴​

Answer 1

Answer: 24

Step-by-step explanation:

Given

$2x^4+2y^4+2z^4=144$

dividing whole equation by 2, we get

$\Rightarrow x^4+y^4+z^4=72$

Mean is given by the sum of the value of entities divided by the total no of entities

$\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24$