The expression that is being raised to a power when using exponential notation. In 5³, 5 is the base, which is the number that is repeatedly multiplied. 5³= 5 • 5 • 5. In a^b, a is the base.

A polynomial with exactly two terms, such as 5y² – 4x and x⁵ + 6.

The degree of a monomial is the power to which the variable is raised. For example, the monomial 5y² has a degree of 2. If the monomial contains several variables then the degree of the monomial is the sum of the degree of all the variables. For example, the monomial 7x²y³ has a degree of 5.

The highest exponent or sum of exponents of a term in a polynomial. For example, 7x²y³ + 3x²y − 8 is a 5th degree polynomial because the highest sum of exponents in a term is 2 + 3 = 5.

When a number is expressed in the form a^b, ^b is the exponent. The exponent indicates how many times the base is used as a factor. Power and exponent mean the same thing.

A shorter way to write repeated multiplication. For example, 2⁴ means 2 • 2 • 2 • 2. Two is used as a factor 4 times.

A number or mathematical symbol that is multiplied by another number or mathematical symbol to form a product. For example, in the equation 4 • 5 = 20, 4 and 5 are factors.

Terms that contain the same variables raised to the same powers. For example, 3x and −8x are like terms, as are 8xy² and 0.5xy².

A polynomial with exactly one term. 4x, −5y², and 6 are all examples of monomials.

To raise a power to a power, multiply the exponents. (x^a)^b = x^a^•^b

The product of two or more non-zero numbers raised to a power equals the product of each number raised to the same power: (ab)^x= a^x • b^x

To multiply two exponential terms with the same base, add their exponents. (x^a)(x^b) = x^a^+b

For any non-zero number x and any integers a and b:

A positive number is written in scientific notation if it is written as a x 10ⁿ where the coefficient a has a value such that 1 ≤ a < 10 and n is an integer.

A number or product of a number and variables raised to powers. 4x, −5y², 6, and x³y⁴ are all examples of terms.

A polynomial with exactly three terms, such as 5y² – 4y + 4 and x² + 2xy +y².

associative property of addition	For three or more real numbers, the sum is the same regardless of how you group the numbers. For example, (6 + 2) + 1 = 6 + (2 + 1).
base	The expression that is being raised to a power when using exponential notation. In 5³, 5 is the base, which is the number that is repeatedly multiplied. 5³= 5 • 5 • 5. In a^b, a is the base.
binomial	A polynomial with exactly two terms, such as 5y² – 4x and x⁵ + 6.
coefficient	A number that multiplies a variable.
commutative property of addition	Two real numbers can be added in any order without changing the sum. For example, 6 + 4 = 4 + 6.
constant	A symbol that represents a quantity that cannot change. It can be a number, letter or a symbol.
degree	The value of an exponent.
degree of a monomial	The degree of a monomial is the power to which the variable is raised. For example, the monomial 5y² has a degree of 2. If the monomial contains several variables then the degree of the monomial is the sum of the degree of all the variables. For example, the monomial 7x²y³ has a degree of 5.
degree of a polynomial	The highest exponent or sum of exponents of a term in a polynomial. For example, 7x²y³ + 3x²y − 8 is a 5th degree polynomial because the highest sum of exponents in a term is 2 + 3 = 5.
exponent	When a number is expressed in the form a^b, ^b is the exponent. The exponent indicates how many times the base is used as a factor. Power and exponent mean the same thing.
exponential notation	A shorter way to write repeated multiplication. For example, 2⁴ means 2 • 2 • 2 • 2. Two is used as a factor 4 times.
factor	A number or mathematical symbol that is multiplied by another number or mathematical symbol to form a product. For example, in the equation 4 • 5 = 20, 4 and 5 are factors.
like terms	Terms that contain the same variables raised to the same powers. For example, 3x and −8x are like terms, as are 8xy² and 0.5xy².
monomial	A polynomial with exactly one term. 4x, −5y², and 6 are all examples of monomials.
polynomial	A monomial or the sum or difference of two or more monomials.
power rule for exponents	To raise a power to a power, multiply the exponents. (x^a)^b = x^a^•^b
product raised to a power rule	The product of two or more non-zero numbers raised to a power equals the product of each number raised to the same power: (ab)^x= a^x • b^x
product rule for exponents	To multiply two exponential terms with the same base, add their exponents. (x^a)(x^b) = x^a^+b
quotient rule for exponents	For any non-zero number x and any integers a and b:
scientific notation	A positive number is written in scientific notation if it is written as a x 10ⁿ where the coefficient a has a value such that 1 ≤ a < 10 and n is an integer.
term	A number or product of a number and variables raised to powers. 4x, −5y², 6, and x³y⁴ are all examples of terms.
trinomial	A polynomial with exactly three terms, such as 5y² – 4y + 4 and x² + 2xy +y².