Question

Evaluate x,y and z please​

Answer 1

Answer:

x = 8

y = 5

z = 4.

Step-by-step explanation:

$\frac{ (144p^{4})^{\frac{3}{2} }}{(216p^{-3})^{-\frac{2}{3} }}= \frac{(12p^{2})^{3}}{(6p^{-1})^{-2}}$

                 $= \frac{2^{6}3^{3}p^{6}}{2^{-2}3^{-2}p^{2}}$

                 $=2^{8}3^{5}p^{4}$ $=2^{x}3^{y}p^{z}$.

By comparing, x = 8

                         y = 5

                         z = 4.