20 terms

Multiplying powers

When multiplying powers with the same base, add the exponents.

Dividing powers

When dividing powers with the same base, subtract the exponents.

Positive exponents

Positive exponents represent how many times a number is being multiplied by itself.

Negative exponents

In a negative exponent, the base moves to the denominator in a fraction that has 1 for the numerator.

Rational (fractional) exponents

Rational exponents represent powers and roots at the same time.

exponent

The number that indicates how many times a base is used as a factor. Repeated multiplication.

base

When a number is raised to a power, the number that is used as a factor is the base.

power

An expression produced by raising a base to an exponent.

Zero Exponent Property

Any number, except for zero, taken to the zero power is equal to 1.

Negative Exponent Property

Take the multiplication inverse or reciprocal of the power. Repeated division.

Product of Powers Property

When multiplying powers with the same base, add the exponents.

Quotient of Powers Property

When dividing powers with the same base, subtract the exponents.

Power of a Power Property

Multiply the power outside the parenthesis by the power of each base inside the parenthesis.

Inverse Operations

The undoing of an opposite operation

Algebraic Equation

A mathematical sentence that contains an equals sign.

Reciprocal

Two numbers whose product is 1

Distributive Property

a(b + c) = ab + ac

When one of the factors of a product is a sum, multiplying each addend before adding does not change the product.

When one of the factors of a product is a sum, multiplying each addend before adding does not change the product.

Combine like terms

terms that contain the same variable

Integer exponent

an exponent that is an integer

Integer

All whole numbers (both positive and negative) and zero.