Skills · Polynomials · Polynomial Operations

Product rule: xᵃ · xᵇ

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• bare powers: x² · x³
• with coefficients: 2x³ · 3x²
• a negative exponent: x⁻² · x⁵

Sample Sheet · Level 1

1. x⁷ · x⁷ =
2. x² · x⁵ =
3. x⁵ · x⁴ =
4. x³ · x³ =
5. x⁷ · x⁵ =
6. x⁵ · x³ =
7. x⁷ · x⁴ =
8. x⁷ · x³ =

Answer key

1. x¹⁴
2. x⁷
3. x⁹
4. x⁶
5. x¹²
6. x⁸
7. x¹¹
8. x¹⁰

Sample Sheet · Level 3

1. x⁵ · x⁷ =
2. x³ · x⁷ =
3. x⁻⁷ · x⁵ =
4. x³ · x⁻⁴ =
5. x⁶ · x⁷ =
6. x² · x⁻⁶ =
7. −5x³ · 3x³ =
8. −2x⁵ · 6x⁹ =

Answer key

1. x¹²
2. x¹⁰
3. 1x²
4. 1x
5. x¹³
6. 1x⁴
7. −15x⁶
8. −12x¹⁴

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

Make it in WingitAsk your AI assistant