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 2n^4 and 6n^4?

Back

The product is 12n^8.

Front

What is the result of multiplying 6k^2 by k?

Back

The result is 6k^3.

Front

What is the product of -10^6 and -10^{-6}?

Back

The product is 1.

Front

How do you simplify the expression 8p^{-5} * 2p^{-1} * p?

Back

The simplified expression is 16/p^5.

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 is the result of a * a^3 * a^{-9}?

Back

The result is 1/a^5.

Front

What happens to the exponent when you multiply a base by itself?

Back

The exponents are added together.

Front

What is the coefficient in the monomial 5x^3?

Back

The coefficient is 5.