Solve {l}{x=17}{y=sqrt[3]{4^x*3}}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x = 17 }\\ { y = \sqrt[3]{4 ^ {x} \cdot 3} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=2048\sqrt[3]{6}\approx 3721.46297412$$

Solution Steps

Consider the second equation. Insert the known values of variables into the equation.

$$y=\sqrt[3]{4^{17}\times 3}$$

Calculate 4 to the power of 17 and get 17179869184.

$$y=\sqrt[3]{17179869184\times 3}$$

Multiply 17179869184 and 3 to get 51539607552.

$$y=\sqrt[3]{51539607552}$$

Consider the third equation. Insert the known values of variables into the equation.

$$z=\sqrt[3]{51539607552}$$

The system is now solved.

$$x=17 y=\sqrt[3]{51539607552} z=\sqrt[3]{51539607552}$$