Simplifying 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 exponents.

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: 9^9 / 9^4

Back

9^5

Front

What happens when you raise a monomial to a power?

Back

When you raise a monomial to a power, you multiply the exponent of each variable by that power: (ax^m)^n = a^n * x^(m*n).

Front

Simplify: (2x^3y)^2

Back

4x^6y^2

Front

What is the product rule for exponents?

Back

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

Front

Simplify: (6k^2)(k)

Back

6k^3

Front

What does x^(-n) equal?

Back

x^(-n) = 1/x^n.

Front

According to exponent rules, when we multiply expressions with the same bases we _______ the exponents.

Back

add.

Front

What is the value of 2^3?

Back

8.