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 does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the degree of a monomial?

Back

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

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero number raised to the power of zero is equal to one: a^0 = 1 (where a ≠ 0).

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial. For example, in 4x^2, 4 is the coefficient.

Front

Simplify: 4y^3 - 2y + y^3

Back

5y^3 - 2y

Front

Simplify: -9^0

Back

-1