Solve 45cm*3cm

$$45 cm \times 3 cm$$

Evaluate

$$135\left(cm\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$45^{1}c^{1}m^{1}\times 3^{1}c^{1}m^{1}$$

Use the Commutative Property of Multiplication.

$$45^{1}\times 3^{1}c^{1}c^{1}m^{1}m^{1}$$

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

$$45^{1}\times 3^{1}c^{1+1}m^{1+1}$$

Add the exponents 1 and 1.

$$45^{1}\times 3^{1}c^{2}m^{1+1}$$

Add the exponents 1 and 1.

$$45^{1}\times 3^{1}c^{2}m^{2}$$

Multiply 45 times 3.

$$135c^{2}m^{2}$$

Differentiate w.r.t. c

$$270cm^{2}$$