Operations with 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 a monomial?

Back

To simplify a monomial means to combine like terms and express it in its simplest form, usually by reducing coefficients and exponents.

Front

What is the product of two monomials?

Back

The product of two monomials is found by multiplying their coefficients and adding their exponents for like bases.

Front

Simplify: (7y^4)^2

Back

49y^8

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)^n = a^n * b^n, meaning you raise each factor to the power.

Front

Simplify: (1.5 × 10^3)^2

Back

2.25 × 10^6

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial, which multiplies the variable(s).

Front

Simplify: (3c^2)(10c^7)

Back

30c^9

Front

What is the power of a power rule?

Back

The power of a power rule states that (a^m)^n = a^(m*n), meaning you multiply the exponents.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.