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

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

Solve for x, y, z, a, b

$$b=27993600000000000000$$

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.

$$z=27993600000000000000$$

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

$$a=27993600000000000000$$

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

$$b=27993600000000000000$$

The system is now solved.

$$x=0 y=27993600000000000000 z=27993600000000000000 a=27993600000000000000 b=27993600000000000000$$