Solve a^2diva^3*x=a^3

$$a ^ { 2 } \div a ^ { 3 } \cdot x = a ^ { 3 }$$

Solve for x

$$x=a^{4}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by a^{3}.

$$a^{2}x=a^{3}a^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$a^{2}x=a^{6}$$

Divide both sides by a^{2}.

$$\frac{a^{2}x}{a^{2}}=\frac{a^{6}}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$x=\frac{a^{6}}{a^{2}}$$

Divide a^{6} by a^{2}.

$$x=a^{4}$$

Solve for a (complex solution)

$$a=i\sqrt[4]{x}$$

$$a=\sqrt[4]{x}$$

$$a=-\sqrt[4]{x}$$

$$a=-i\sqrt[4]{x}\text{, }x\neq 0$$

Solve for a

$$a=\sqrt[4]{x}$$

$$a=-\sqrt[4]{x}\text{, }x>0$$