Solve 6=k{200}^frac{1{3}}

$$6 = k { 200 }^{ \frac{ 1 }{ 3 } }$$

Solve for k

$$k = \frac{3 \sqrt[3]{5}}{5} \approx 1.025985568$$

Steps for Solving Linear Equation

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

$$k\times 200^{\frac{1}{3}}=6$$

Reorder the terms.

$$\sqrt[3]{200}k=6$$

Divide both sides by \sqrt[3]{200}.

$$\frac{\sqrt[3]{200}k}{\sqrt[3]{200}}=\frac{6}{\sqrt[3]{200}}$$

Dividing by \sqrt[3]{200} undoes the multiplication by \sqrt[3]{200}.

$$k=\frac{6}{\sqrt[3]{200}}$$

Divide 6 by \sqrt[3]{200}.

$$k=\frac{3}{5^{\frac{2}{3}}}$$