Multiply 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

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying the coefficients (numbers) and adding the exponents of like bases (variables).

Front

Simplify: -3x²(7x² - x + 4)

Back

-21x⁴ + 3x³ - 12x²

Front

Simplify: x²(2x + 3)

Back

2x³ + 3x²

Front

What is the product of 6k² and k?

Back

6k³

Front

What is the product of (3c²) and (10c⁷)?

Back

30c⁹

Front

Simplify: 5x(4x³ + 8)

Back

20x⁴ + 40x

Front

What is the coefficient in the monomial 7x⁴?

Back

The coefficient is 7.

Front

What happens to the exponents when multiplying like bases?

Back

When multiplying like bases, you add the exponents.

Front

What is the result of multiplying two monomials with different bases?

Back

The result is a product that includes both bases, each raised to their respective exponents.