Solve 7^frac{2{3}}-4/a=0

$$7 ^ { \frac { 2 } { 3 } } - \frac { 4 } { a } = 0$$

Solve for a

$$a = \frac{4 \sqrt[3]{7}}{7} \approx 1.093103533$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$a\times 7^{\frac{2}{3}}-4=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$a\times 7^{\frac{2}{3}}=4$$

The equation is in standard form.

$$7^{\frac{2}{3}}a=4$$

Divide both sides by 7^{\frac{2}{3}}.

$$\frac{7^{\frac{2}{3}}a}{7^{\frac{2}{3}}}=\frac{4}{7^{\frac{2}{3}}}$$

Dividing by 7^{\frac{2}{3}} undoes the multiplication by 7^{\frac{2}{3}}.

$$a=\frac{4}{7^{\frac{2}{3}}}$$