Solve 4dm*2dm=

$$4 d m \times 2 d m =$$

Evaluate

$$8\left(dm\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}d^{1}m^{1}\times 2^{1}d^{1}m^{1}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 2^{1}d^{1}d^{1}m^{1}m^{1}$$

To multiply powers of the same base, add their exponents.

$$4^{1}\times 2^{1}d^{1+1}m^{1+1}$$

Add the exponents 1 and 1.

$$4^{1}\times 2^{1}d^{2}m^{1+1}$$

Add the exponents 1 and 1.

$$4^{1}\times 2^{1}d^{2}m^{2}$$

Multiply 4 times 2.

$$8d^{2}m^{2}$$

Differentiate w.r.t. d

$$16dm^{2}$$