Solve 11^4-6^4=a*b*157

$$11 ^ { 4 } - 6 ^ { 4 } = a \times b \times 157$$

Solve for a

$$a=\frac{85}{b}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Calculate 11 to the power of 4 and get 14641.

$$14641-6^{4}=ab\times 157$$

Calculate 6 to the power of 4 and get 1296.

$$14641-1296=ab\times 157$$

Subtract 1296 from 14641 to get 13345.

$$13345=ab\times 157$$

Swap sides so that all variable terms are on the left hand side.

$$ab\times 157=13345$$

The equation is in standard form.

$$157ba=13345$$

Divide both sides by 157b.

$$\frac{157ba}{157b}=\frac{13345}{157b}$$

Dividing by 157b undoes the multiplication by 157b.

$$a=\frac{13345}{157b}$$

Divide 13345 by 157b.

$$a=\frac{85}{b}$$

Solve for b

$$b=\frac{85}{a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Calculate 11 to the power of 4 and get 14641.

$$14641-6^{4}=ab\times 157$$

Calculate 6 to the power of 4 and get 1296.

$$14641-1296=ab\times 157$$

Subtract 1296 from 14641 to get 13345.

$$13345=ab\times 157$$

Swap sides so that all variable terms are on the left hand side.

$$ab\times 157=13345$$

The equation is in standard form.

$$157ab=13345$$

Divide both sides by 157a.

$$\frac{157ab}{157a}=\frac{13345}{157a}$$

Dividing by 157a undoes the multiplication by 157a.

$$b=\frac{13345}{157a}$$

Divide 13345 by 157a.

$$b=\frac{85}{a}$$