Solve 27dm*25dm

$$27 dm \cdot 25 dm$$

Evaluate

$$675\left(dm\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$27^{1}d^{1}m^{1}\times 25^{1}d^{1}m^{1}$$

Use the Commutative Property of Multiplication.

$$27^{1}\times 25^{1}d^{1}d^{1}m^{1}m^{1}$$

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

$$27^{1}\times 25^{1}d^{1+1}m^{1+1}$$

Add the exponents 1 and 1.

$$27^{1}\times 25^{1}d^{2}m^{1+1}$$

Add the exponents 1 and 1.

$$27^{1}\times 25^{1}d^{2}m^{2}$$

Multiply 27 times 25.

$$675d^{2}m^{2}$$

Differentiate w.r.t. d

$$1350dm^{2}$$