Question

If 2x^4+ 2y^4+ 2z^4= 144, what is the mean of x^4, y^4 and z^4?

Answer 1

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

$2( {x}^{4} + {y}^{4} + {z}^{4} ) = 144$

${x}^{4} + {y}^{4} + {z}^{4} = 72$

To Evaluate it's mean, we divide both sides by the total number of terms,

$\dfrac{ {x}^{4} + {y}^{4} + {z}^{4} }{3} = \dfrac{72}{3}$

$\dfrac{ {x}^{4} + {y}^{4} + {z}^{4} }{3} = 24$