Worked examples
Two examples
Example 1
Multiply: (3x2)(4x3)
- Multiply the numbers: 3 × 4 = 12.
- Multiply the powers by adding exponents: 2 + 3 = 5.
Answer: 12x5
Example 2
Multiply: (−2xy)(5x)
- Numbers: −2 × 5 = −10.
- x × x = x2, and the y comes along.
Answer: −10x2y
Where this is taught: Quiz 31: Rules of Exponents, “Multiplying powers: ADD”
The drill
Ten problems
How many:
Type your answer like 3x^2 - 2x + 5: use ^ for a power, and write like terms together. Then press Check my answers at the bottom.Write each answer on the line. The answer key, with the reasoning, is on the last page.