Solve 42=22/7{left(7/22right)}^2x

$$42= \frac{ 22 }{ 7 } { \left( \frac{ 7 }{ 22 } \right) }^{ 2 } x$$

Solve for x

$$x=132$$

Steps for Solving Linear Equation

Calculate \frac{7}{22} to the power of 2 and get \frac{49}{484}.

$$42=\frac{22}{7}\times \frac{49}{484}x$$

Multiply \frac{22}{7} times \frac{49}{484} by multiplying numerator times numerator and denominator times denominator.

$$42=\frac{22\times 49}{7\times 484}x$$

Do the multiplications in the fraction \frac{22\times 49}{7\times 484}.

$$42=\frac{1078}{3388}x$$

Reduce the fraction \frac{1078}{3388} to lowest terms by extracting and canceling out 154.

$$42=\frac{7}{22}x$$

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

$$\frac{7}{22}x=42$$

Multiply both sides by \frac{22}{7}, the reciprocal of \frac{7}{22}.

$$x=42\times \frac{22}{7}$$

Express 42\times \frac{22}{7} as a single fraction.

$$x=\frac{42\times 22}{7}$$

Multiply 42 and 22 to get 924.

$$x=\frac{924}{7}$$

Divide 924 by 7 to get 132.

$$x=132$$