PA: Unit 2 (Exponents) VOCAB

Quotient of Powers Property

• To multiply powers with the same base, add their exponents.

• To divide powers with the same base, subtract their exponents.

• To add powers with the same base, multiply their exponents.

• To subtract powers with the same base, divide their exponents.

Power

• A product of repeated factors using an exponent and a base. 

• The ability to do work or cause change.

• A measure of the rate of doing work.

• The total energy consumed in a system.

Monomial 

• A number, a variable, or a product of a number and one or more variables. 

• A sum of two or more monomials.

• A polynomial with two terms.

• A variable raised to a power greater than one.

Power of a Product Property 

• To find a power of a product, find the power of each factor and multiply.

• To find a power of a product, add the exponents of each factor.

• To find a power of a product, subtract the exponents of each factor.

• To find a power of a product, divide the exponents of each factor.

Base

• The result of a power operation.

• The number that is the common factor, right in front of the exponent.

• The exponent itself.

• The number that is multiplied by itself.

Product of Powers Property 

• To multiply powers with the same base, add their exponents.

• To multiply powers with different bases, add their exponents.

• To multiply powers with the same base, subtract their exponents.

• To multiply powers, multiply their bases and add their exponents.

Exponent

• A mathematical operation involving addition.

• In a power, the number of times the base is used as a factor.

• A term used to describe a number's square root.

• The result of multiplying a number by itself.

Term

• Each part of an algebraic expression separated by a plus or minus sign.

• A mathematical operation involving addition or subtraction.

• A constant value in an equation.

• A variable that represents an unknown quantity.

Evaluate

• To find the value of a numerical or algebraic expression.

• To simplify an expression without calculating its value.

• To compare two expressions and determine which is larger.

• To convert an expression into a different form.

Standard Form

• Numbers written without exponents.

• Numbers expressed in scientific notation.

• Numbers that are rounded to the nearest whole number.

• Numbers that include fractions and decimals.