Solve A=10am^2*6m

$$A = 10 am ^ { 2 } \cdot 6 m$$

Solve for A

$$A=60am^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$A=10am^{3}\times 6$$

Multiply 10 and 6 to get 60.

$$A=60am^{3}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{A}{60m^{3}}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&A=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$A=10am^{3}\times 6$$

Multiply 10 and 6 to get 60.

$$A=60am^{3}$$

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

$$60am^{3}=A$$

The equation is in standard form.

$$60m^{3}a=A$$

Divide both sides by 60m^{3}.

$$\frac{60m^{3}a}{60m^{3}}=\frac{A}{60m^{3}}$$

Dividing by 60m^{3} undoes the multiplication by 60m^{3}.

$$a=\frac{A}{60m^{3}}$$