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Grade 9 · Math

Multiply two monomials

Multiply coefficients and use the product rule for exponents.

8 authored questions + worked example

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Worked example

Simplify (2x2)(3x3).

Answer & why

Answer: 6x5

Multiply the coefficients: 2 × 3 = 6. Add exponents of x: 2+3 = 5. The product is 6x5.

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All questions

All 8 authored questions for this skill.

Question 1

Simplify (4x3)(6x5).

  1. 24x9
  2. 24x8
  3. 25x8
  4. 24x7
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 24x8

Multiply the coefficients: 4 × 6 = 24. Add exponents of x: 3+5 = 8. The product is 24x8.

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Question 2

Simplify (5x5)(4x3).

  1. 20x8
  2. 20x9
  3. 20x7
  4. 21x8
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 20x8

Multiply the coefficients: 5 × 4 = 20. Add exponents of x: 5+3 = 8. The product is 20x8.

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Question 3

Simplify (2x2)(3x3).

  1. 6x5
  2. 6x4
  3. 7x5
  4. 6x6
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 6x5

Multiply the coefficients: 2 × 3 = 6. Add exponents of x: 2+3 = 5. The product is 6x5.

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Question 4

Simplify (3x3)(4x2).

  1. 12x4
  2. 12x5
  3. 13x5
  4. 12x6
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 12x5

Multiply the coefficients: 3 × 4 = 12. Add exponents of x: 3+2 = 5. The product is 12x5.

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Question 5

Simplify (4x4)(2x3).

  1. 8x8
  2. 9x7
  3. 8x6
  4. 8x7
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 8x7

Multiply the coefficients: 4 × 2 = 8. Add exponents of x: 4+3 = 7. The product is 8x7.

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Question 6

Simplify (5x2)(3x4).

  1. 15x6
  2. 15x5
  3. 16x6
  4. 15x7
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 15x6

Multiply the coefficients: 5 × 3 = 15. Add exponents of x: 2+4 = 6. The product is 15x6.

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Question 7

Simplify (2x5)(7x2).

  1. 14x8
  2. 14x7
  3. 14x6
  4. 15x7
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 14x7

Multiply the coefficients: 2 × 7 = 14. Add exponents of x: 5+2 = 7. The product is 14x7.

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Question 8

Simplify (3x4)(5x4).

  1. 15x9
  2. 15x7
  3. 16x8
  4. 15x8
A hint

Products of powers with the same base add their exponents.

Answer & why

Answer: 15x8

Multiply the coefficients: 3 × 5 = 15. Add exponents of x: 4+4 = 8. The product is 15x8.

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