Solve 6.5^3sqrt{x^6}dx=5

$$6.5 ^ { 3 } \sqrt { x ^ { 6 } } d x = 5$$

Solve for d

$$d=\frac{40}{2197x\left(|x|\right)^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Calculate 6.5 to the power of 3 and get 274.625.

$$274.625\sqrt{x^{6}}dx=5$$

The equation is in standard form.

$$\frac{2197x\sqrt{x^{6}}}{8}d=5$$

Divide both sides by 274.625\sqrt{x^{6}}x.

$$\frac{8\times \frac{2197x\sqrt{x^{6}}}{8}d}{2197x\sqrt{x^{6}}}=\frac{5\times 8}{2197x\sqrt{x^{6}}}$$

Dividing by 274.625\sqrt{x^{6}}x undoes the multiplication by 274.625\sqrt{x^{6}}x.

$$d=\frac{5\times 8}{2197x\sqrt{x^{6}}}$$

Divide 5 by 274.625\sqrt{x^{6}}x.

$$d=\frac{40}{2197x\left(|x|\right)^{3}}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\sqrt[4]{\frac{520}{d}}}{13}\text{, }&d>0\\x=-\frac{\sqrt[4]{-\frac{520}{d}}}{13}\text{, }&d<0\end{matrix}\right.$$