Multiply and Divide Monomials

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 2n^4 and 5n^4?

Back

The product is 10n^8.

Front

What is the rule for dividing monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like bases.

Front

What is the result of 8x^4 when simplified?

Back

8x^4 is already in its simplest form.

Front

What is the value of (4^2)(4^2)?

Back

The value is 4^4.

Front

How do you simplify the expression n^5 * n^3?

Back

You add the exponents: n^(5+3) = n^8.

Front

What is the value of -(-4)^2?

Back

The value is -16.

Front

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

Back

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

Front

What is the exponent rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents.