Exponents Location of Exponent An exponent is a

Exponents

Location of Exponent • An exponent is a little number high and to the right of a regular or base number. Base 3 4 Exponent

Definition of Exponent • An exponent tells how many times a number is multiplied by itself. Base 3 4 Exponent

What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 3 =3 x 3 x 3 x 3

How to read an Exponent • This exponent is read three to the fourth power. Base 3 4 Exponent

How to read an Exponent • This exponent is read three to the 2 nd power or three squared. Base 3 2 Exponent

How to read an Exponent • This exponent is read three to the 3 rd power or three cubed. Base 3 3 Exponent

What is the Exponent? 2 x 2 x 2= 2 3

What is the Exponent? 3 x 3= 3 2

What is the Exponent? 5 x 5 x 5 x 5= 5 4

What is the Base and the Exponent? 8 x 8 x 8 x 8= 8 4

What is the Base and the Exponent? 7 x 7 x 7 =7 5

What is the Base and the Exponent? 9 x 9= 9 2

How to Multiply Out an Exponent to Find the Standard Form 4 3 =3 x 3 x 3 x 3 9 27 81

What is the Base and Exponent in Standard Form? 4 2 = 16

What is the Base and Exponent in Standard Form? 2 3 = 8

What is the Base and Exponent in Standard Form? 3 2 = 9

What is the Base and Exponent in Standard Form? 5 3 = 125

Product law: Ex: add the exponents together when multiplying the powers with the same base. NOTE: This operation can only be done if the base is the same!

Quotient law subtract the exponents when dividing the powers with the same base. Ex: NOTE: This operation can only be done if the base is the same!

Power of a power: keep the base and multiply the exponents. Ex: NOTE: Multiply the exponents, not add them!

Zero exponent law: Ex: Any power raised to an exponent of zero equals one. NOTE: No matter how big the number is, as long as it has zero as an exponent, it equals to one. Except

Negative exponents: To make an exponent positive, flip the base. Ex: NOTE: This does not change the sign of the base.

Multiplying Polynomials: In multiplying polynomials, you have to multiply the coefficients and add up the exponents of the variables with the same base. Ex:

Dividing polynomials: When dividing polynomials, you must divide the coefficients(if possible) and subtract the exponents of the variables with the same base. Ex:

Please simplify the following equations: How? : Answer:

Please simplify the following equations: How? : Answer:

Please simplify the following equations: How? : Answer:

Please simplify the following equations: How? : Answer:

Please simplify the following equations: How? : Answer:

Please simplify the following equations: How? : Answer:

Review

Copy and complete each of the following questions.

• 13. ) 4 p 2 p • 15. ) 2 2 (4 x ) • 13. ) • 15. ) 4 2 • 14. ) 3 b 5 9 b 3 • 14. ) 1/3 b 2 p 4 4 x

• 16. ) 2 x 0 y * * 3 -4 x *y 4 • 16. ) 9 y /x 2 3

• 17. ) m * n 5 7 • 17. ) m /n 2 3 -1 • 18. ) 3 a 2 b 2 b * 3 *a 5 4 • 18. ) 6 a /b 3 2 -4 m n

• 19) 27/64 2 • 20) 2+3(4) • 20) 50 3 (3/4)