Monomial Operations REVIEW

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants 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 (7a^3b) and (-4a^8b^5)?

Back

The product is -28a^{11}b^6.

Front

How do you simplify the expression 8w^2 - 5w + 6w - 6w^2?

Back

Combine like terms to get 2w^2 + w.

Front

What is the result of multiplying 8x^5y^{11} by -9x^3y^2?

Back

The result is -72x^8y^{13}.

Front

What is the square of the monomial (-9p^5q^3)?

Back

The square is 81p^{10}q^6.

Front

What is the result of raising (3c^5d^3) to the power of 4?

Back

The result is 81c^{20}d^{12}.

Front

What is the rule for adding or subtracting monomials?

Back

You can only add or subtract monomials that have the same variable parts (like terms). Combine their coefficients.

Front

What is the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of its variables.

Front

How do you simplify the expression (2x^3)(3x^2)?

Back

Multiply the coefficients (2*3) and add the exponents (3+2) to get 6x^5.