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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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

exponent

base

product

quotient

the small number in a power that tells how many times to mult…

in a power, it tells what number is being multiplied

the answer to a multiplication problem

the answer to a division problem

exponent

the small number in a power that tells how many times to mult…

base

in a power, it tells what number is being multiplied

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

To multiply exponents with the same base

To divide exponents with the same base

Write using a positive exponent: a bas…

Write using a positive exponent: a bas…

keep the base and add the exponents

keep the base and subtract the exponents

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

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

To multiply exponents with the same base

keep the base and add the exponents

To divide exponents with the same base

keep the base and subtract the exponents

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

exponent

base

product

quotient

the small number in a power that tells how many times to mult…

in a power, it tells what number is being multiplied

the answer to a multiplication problem

the answer to a division problem

exponent

the small number in a power that tells how many times to mult…

base

in a power, it tells what number is being multiplied

PRODUCT RULE

QUOTIENT RULE

ZERO POWER RULE

POWER to a POWER RULE

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

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

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…

PRODUCT RULE

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

QUOTIENT RULE

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

Law of Exponents for Multiplication (P…

Law of Exponents for Division (Quotien…

Law of Exponents for Power of a Power…

Law of Exponents for Power of a Produc…

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

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 t…

Law of Exponents for Multiplication (P…

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

Law of Exponents for Division (Quotien…

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

Zero Power

Power of One

Product of a Power (multiplying with t…

Power of a Power

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

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

Zero Power

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

Power of One

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

Product of Powers

Power of a Power

Quotient of Powers

Power of a Quotient

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

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

To divide two powers with the same base, subtract the exponen…

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

Product of Powers

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

Power of a Power

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

adding polynomials

subtracting polynomials

multiplying monomials

dividing monomials

identify like terms and then combine like terms

reverse the sign and then add the terms

when like bases are multiplied, the exponents are added. When…

Divide the the coeffcients and subtract the exponents

adding polynomials

identify like terms and then combine like terms

subtracting polynomials

reverse the sign and then add the terms

Zero Exponent

Negative Exponents

Exponent of 1

Multiplying with the same base

the answer is always 1(a to the power of 0=1)

any number taken to the negative exponent is 1/positive power…

its the number itself a 1=a

a number with the same base you add the exponents together a…

Zero Exponent

the answer is always 1(a to the power of 0=1)

Negative Exponents

any number taken to the negative exponent is 1/positive power…

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials

Adding like terms

Subtracting like terms

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

Like variables - the numerator exponent minus the denominator…

Adding Polynomials

Adding like terms

Subtracting Polynomials

Subtracting like terms

Adding Polynomials

Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials ( Quotient Rule )

Adding polynomials is just combining like terms with some ord…

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

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

When you divide polynomials you have to factor your polynomia…

Adding Polynomials

Adding polynomials is just combining like terms with some ord…

Subtracting Polynomials

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

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 mak…

Power to a Power

Multiply the exponents together and keep the base the same.

Multiplying Powers

Add the exponents together and keep the base the same.

power

base

exponent

Product of Powers

short hand way of writing repeated multiplication

the number in a power that is being multiplied

the number in a power that tells how many times a number is b…

3⁵ × 3² is an example of which law of exponents?

power

short hand way of writing repeated multiplication

base

the number in a power that is being multiplied

Multiplying Numbers with the same base

Multiplying different bases with the s…

Dividing Numbers with the same base

Dividing different bases with the same…

n1 x n5=n1+5

a3xb3=(ab)3

n1... ~~~~ = n 1-6... n6

5... a5xb5=(a)... (~~~)... (b)

Multiplying Numbers with the same base

n1 x n5=n1+5

Multiplying different bases with the s…

a3xb3=(ab)3

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Dividing Monomials

matter of combining like terms, with some order of operations…

the same as adding polynomials, but has a minus sign

Adding Polynomials

matter of combining like terms, with some order of operations…

Subtracting Polynomials

the same as adding polynomials, but has a minus sign