Grade 9 Math (MTH1W) · Algebra

Exponent laws on monomials

Simplify a product, quotient, or power of a power of monomials using the exponent laws. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MTH1W-C1.2

Try one

Simplify. Choose the correct monomial.

(20m4) / (5m)
  • 4m4
  • 4m5
  • 4m3
  • 15m3

Answer: 4m^3

See one solved, step by step

Simplify. Choose the correct monomial.

(5y3)(3y2)
  • 8y5
  • 15y
  • 15y5
  • 15y6
📘 Worked solution
1(5y3)(3y2)When multiplying powers with the same base, multiply the coefficients and add the exponents.
25 · 3 = 15, 3 + 2 = 5Multiply the numbers out front, then add the exponents on y.
3= 15y5Combine into a single monomial.

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