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 their exponents for like bases. For example, (3x^2)(4x^3) = 12x^(2+3) = 12x^5.

Front

What is the product of 4^2 and 4^2?

Back

4^4.

Front

What is the product of 2n^4 and 5n^4?

Back

10n^8.

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents for like bases. For example, (6x^5)/(2x^2) = 3x^(5-2) = 3x^3.

Front

What is 25x^5 divided by 5x^3?

Back

5x^2.

Front

What is the simplified form of 1/y^5?

Back

y^5.

Front

What is the product of 5^6 and 5^2?

Back

5^8.

Front

What happens when you multiply a monomial by a variable?

Back

You multiply the coefficient of the monomial by the variable, keeping the variable's exponent the same.

Front

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

Back

x^(3+2) = x^5.