Multiply and Divide Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add the exponents of like bases. For example, (3x^2)(4x^3) = 12x^(2+3) = 12x^5.

Front

What is the product of n² and n⁴?

Back

n² * n⁴ = n^(2+4) = n^6.

Front

What is the product of 7v³ and 10u³v⁵?

Back

7v³ * 10u³v⁵ = 70u³v^(3+5) = 70u³v^8.

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like bases. For example, (12x^5)/(3x^2) = 4x^(5-2) = 4x^3.

Front

What is the result of (x^3)/(x^2)?

Back

(x^3)/(x^2) = x^(3-2) = x^1 = x.

Front

What is the simplified form of -10x + 15 - 3x + 2?

Back

-10x + 15 - 3x + 2 = -13x + 17.

Front

What is the sum of -2y + 8 + 7y + 5?

Back

-2y + 8 + 7y + 5 = 5y + 13.

Front

What is the product of 2x² and 3x³?

Back

2x² * 3x³ = 6x^(2+3) = 6x^5.

Front

What is the simplified form of n²⋅n⁴⋅n⁵?

Back

n²⋅n⁴⋅n⁵ = n^(2+4+5) = n¹¹.