Multiply 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 4k^{-2} and 3k^5?

Back

The product is 12k^3.

Front

What is the product of 2n^4 and 5n^4?

Back

The product is 10n^8.

Front

How do you simplify the expression p^{-2} * q^{-1} * p^{11} * q^{-6}?

Back

Combine the like bases by adding the exponents: p^{11-2} * q^{-1-6} = p^9 / q^7.

Front

What is the result of multiplying x^{-2} and x^{-4}?

Back

The result is 1/x^6.

Front

What is the product of 9xy^2 and 9x^5y^2?

Back

The product is 81x^6y^4.

Front

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

Back

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

Front

What happens to the exponent when multiplying a negative exponent with a positive exponent?

Back

When multiplying a negative exponent with a positive exponent, you add the exponents, which may result in a negative exponent.

Front

What is the significance of a negative exponent?

Back

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