Properties of

Exponents

Product of PowersTo multiply terms with

the same base, add the exponents.

Example:

73 x 78 = 73+8 = 711

Quotient of PowersTo divide terms with the

same base, subtract the exponents.

Example:

108

103= 108-3 = 105

Power of PowersTo raise a power to a

power, multiply the exponents.

Example:

(52)6 = 52x6 = 512

Power of a ProductTo multiply terms with different bases raised to the same power, multiply first and raise the product

to the given power.

Example:23 x 33 = (2 x 3)3 = 63

( )

Power of a QuotientTo divide terms with

different bases raised to the same power, raise both numerator and

denominator to the power.

Example:4

9

2=

42

92 =1681

Zero ExponentsRaising a base (other than zero) to the zero

power equals one.

Example:

1000 = 1

Negative ExponentsRaising a base to a negative

power equals the reciprocal of the base raised to the

absolute value of the power.

Example:1

49

4-9 =

Bell Ringer/ FlashbackComplete the following table. (NO CALCULATOR)

Exponential Form

Expanded Form

Standard Form

53

7 x 7 x 7 x 7

362 x 2 x 2 x 2 x 2 x

2

AssignmentUsing what you know

about Product of Powers,

solve the expressions on your practice sheet.