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

What is the product of two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents for like bases. Example: (3x^2)(4x^3) = 12x^(2+3) = 12x^5.

Front

What is the quotient of two monomials?

Back

To divide two monomials, divide their coefficients and subtract the exponents for like bases. Example: (8x^5)/(2x^2) = 4x^(5-2) = 4x^3.

Front

Simplify: (5p^9q^3)(2pq^7)

Back

10p^{10}q^{10}.

Front

Simplify: 2m^{-1}

Back

\frac{2}{m}.

Front

What happens when you divide two powers with the same base?

Back

You subtract the exponents.

Front

Simplify: \frac{50r^6n^{-7}}{2n^2r^4}

Back

\frac{25r^2}{n^9}.

Front

Simplify: 3n^5 \cdot 5n^{10}

Back

15n^{15}.

Front

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

Back

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

Front

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

Back

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