Multiplying 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.

Front

What is the product of (-7y^2) and (5y^4)?

Back

The product is -35y^6.

Front

What is the product of (d^4) and (d^5)?

Back

The product is d^9.

Front

How do you multiply coefficients in monomials?

Back

Multiply the numerical coefficients directly.

Front

What is the result of multiplying 2a and 6a^2?

Back

The result is 12a^3.

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents.

Front

What is the product of (-2)^3 and (-2)^6?

Back

The product is (-2)^9.

Front

How do you multiply two variables?

Back

When multiplying two variables, simply write them next to each other, e.g., xy.

Front

What is the product of (-4x) and (2y)?

Back

The product is -8xy.