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 if they have the same base.

Front

Calculate: 2n^4 * 5n^4

Back

10n^8

Front

What is the quotient rule for exponents?

Back

When dividing two monomials with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

Evaluate: x^8 / x^3

Back

x^5

Front

What happens when you multiply a monomial by a constant?

Back

The constant multiplies the coefficient of the monomial, while the variable part remains unchanged.

Front

Calculate: 5^6 * 5^2

Back

5^8

Front

What is the result of dividing a monomial by itself?

Back

The result is 1, as long as the monomial is not zero.

Front

Simplify: 3x^5 * 2x^3

Back

6x^8

Front

What is the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of its variables.