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To multiply exponents with the same base

To divide exponents with the same base

Write using a positive exponent: a base…

Write using a positive exponent: a base…

keep the base and add the exponents

keep the base and subtract the exponents

shift the base to the numerator, while making the exponent pos…

shift the base to the denominator, while making the exponent p…

Power to a Power

Multiplying Powers

Dividing Powers

Negative Exponents

Multiply the exponents together and keep the base the same.

Add the exponents together and keep the base the same.

Subtract the exponents and keep the base the same.

To change the sign cross the line. Find the reciprocal to make…

Power to a Power

Multiplying Powers

Dividing Powers

Negative Exponents

Multiply the exponents together and keep the base the same.

Add the exponents together and keep the base the same.

Subtract the exponents and keep the base the same.

To change the sign cross the line. Find the reciprocal to make…

PRODUCT RULE

QUOTIENT RULE

ZERO POWER RULE

POWER to a POWER RULE

To multiply when two bases are the same, keep the base and ADD…

To divide when two bases are the same, keep the base and SUBTR…

Any base (except 0) raised to the zero power is equal to one

To raise a power to another power, keep the base and MULTIPLY…

Law of Exponents for Multiplication (Pr…

Law of Exponents for Division (Quotient…

Law of Exponents for Power of a Power…

Law of Exponents for Power of a Product…

MULTIPLY the coefficients... ADD the exponents of the powers tha…

DIVIDE the coefficients... SUBTRACT the exponents of the powers…

Multiply the exponents, keep the base the same!... ans1: 2^10…

Distribute the exponent outside of the parenthesis to every te…

Product of Powers

Power of a Power

Quotient of Powers

Power of a Quotient

When multiplying powers that have the same base, add their exp…

To find the power of a power, multiply the exponents.

To divide two powers with the same base, subtract the exponents.

To find the power of a quotient, find the power of the numerat…

Power to a Power

Multiplying Powers

Dividing Powers

Negative Exponents

Multiply the exponents together and keep the base the same.

Add the exponents together and keep the base the same.

Subtract the exponents and keep the base the same.

To change the sign cross the line. Find the reciprocal to make…

Adding Polynomials

Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials ( Quotient Rule )

Adding polynomials is just combining like terms with some orde…

Subtract like terms by changing the signs of the terms being s…

When you multiply two terms together you must multiply the coe…

When you divide polynomials you have to factor your polynomial…

Power to a Power

Multiplying Powers

Dividing Powers

Negative Exponents

Multiply the exponents together and keep the base the same.

Add the exponents together and keep the base the same.

Subtract the exponents and keep the base the same.

To change the sign cross the line. Find the reciprocal to make…

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials

Combining like terms of two or more polynomials

Distribute the negative ( keep change flip ) then combine like…

When an expression has a positive integer exponent, it indicat…

Like variables - the numerator exponent minus the denominator…

Adding Polynomials

Subtracting polynomials

Multiplying monomials.

DIviding monomials

no exponent changes, combine like terms using integer rules

Distribute the negative ( keep change flip ) then combine like…

To multiply the powers with like bases, add the exponents.

Divide the the coeffcients and subtract the exponents

Product Rule (same base)

Product Rule (same exponent)

Zero Exponent Rule

Negative Exponents Rule

a¹ × a² = a¹⁺² = a³... To multiply two powers with the same base,…

a⁴ × b⁴ = (ab)⁴... To multiply two numbers with the same exponent…

a⁰ = 1... Any number (not equal to zero), raised to a power of 0…

a⁻ⁿ = 1/aⁿ... Any number not equal to zero raised to a negative p…

Base

Exponent

Multiplying Like Bases with Exponents

Zero as an Exponent

Which number is being multiplied... Example: 3ⁿ where 3 is the ba…

How many times you multiply the base times itself. It is a sma…

Add your exponents.... y¹ x y² = y¹⁺² = y³

Any base with zero as an exponent always equals 1.... y⁰ = 1

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials

Combine like terms

Distribute the negative ( keep change flip ) then combine like…

When an expression has a positive integer exponent, it indicat…

Like variables - the numerator exponent minus the denominator…

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials (Quotient Rule)

Combining like terms of two or more polynomials

Distribute the negative ( keep change flip ) then combine like…

Multiply the coefficients then add the exponents if the bases…

Divide the the coeffcients and subtract the exponents

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials ( Quotient Rule)

Polynomials can be added by combining like terms

1. Change the - sign to a +... 2. Change everything to the opposi…

Multiply the coefficients then add the exponents if the bases…

1. Divide the coefficients... 2. Divide the variables with the li…

Adding polynomials

subtracting polnomials

multiplying polynomials

Dividing polynomials

add all the like terms form both or more polynomials

subtracting is like adding but you need to swap the signs of t…

when you multiply polynomials you distribute each term fro the…

when you divide a polynomials by a monomial

Base

Exponent

Multiplying Like Bases with Exponents

Zero as an Exponent

Which number is being multiplied... Example: 3ⁿ where 3 is the ba…

How many times you multiply the base times itself. It is a sma…

Add your exponents.... y¹ x y² = y¹⁺² = y³

Any base with zero as an exponent always equals 1.... y⁰ = 1

Zero Power

Power of One

Product Rule (multiplying with the same…

Power Rule (Power to a Power)

Any non-zero number raised to the zero power is equal to 1 (or…

Any number raised to the power of 1 is equal to itself.

write the base and add the exponents

write the base and multiply the exponents