Solve {l}{x*6^5=0}{y=75^7*8^7}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x \cdot 6 ^ {5} = 0 }\\ { y = 75 ^ {7} \cdot 8 ^ {7} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=27993600000000000000$$

Solution Steps

Consider the first equation. Calculate 6 to the power of 5 and get 7776.

$$x\times 7776=0$$

Divide both sides by 7776. Zero divided by any non-zero number gives zero.

$$x=0$$

Consider the second equation. Calculate 75 to the power of 7 and get 13348388671875.

$$y=13348388671875\times 8^{7}$$

Calculate 8 to the power of 7 and get 2097152.

$$y=13348388671875\times 2097152$$

Multiply 13348388671875 and 2097152 to get 27993600000000000000.

$$y=27993600000000000000$$

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

$$z=27993600000000000000$$

The system is now solved.

$$x=0 y=27993600000000000000 z=27993600000000000000$$