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 exponents.

Front

What is the product of two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents for like bases.

Front

What is the quotient of two monomials?

Back

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

Front

What happens to the exponent when you raise a power to a power?

Back

When raising a power to a power, you multiply the exponents.

Front

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

Back

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

Front

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

Back

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

Front

How do you simplify a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

What is the simplified form of (4y)^-3?

Back

The simplified form is 1/(64y^3).

Front

What is the simplified form of x^8 / x^2?

Back

The simplified form is x^6.

Front

What is the simplified form of 3n^5 * 5n^{10}?

Back

The simplified form is 15n^{15}.