Multiplying and Dividing
Powers of a Power
Multiplying and Dividing 2
Powers of Power 2
Misc.
100

Simplify using Laws of Exponents: c · c5

c6

100

Simplify using Laws of Exponents: (32)5

310

100

Simplify using Laws of Exponents:(-2w4)(5w)

-10w5

100

Simplify using Laws of Exponents: (5j6)4

625j24

100

What do we do to the exponents when we have the same bases being multiplied?

Add them

200

Simplify using Laws of Exponents: b12 / b8

b4

200

Simplify using Laws of Exponents: (53)5

515

200

Simplify using Laws of Exponents: 4x9 / 2x5

2x4

200

Simplify using Laws of Exponents: (8v9)5

32768v45

200

What do we do to the exponents when we have the same bases being divided?

Subtract them

300

Simplify using Laws of Exponents: d22 · d12

d34

300

Simplify using Laws of Exponents: (x4)3

x12

300

Simplify using Laws of Exponents: (6b12)(3b2)

18b14

300

Simplify using Laws of Exponents: (-3a5b12)5

-243a25b60

300

What is the name of this exponent property: 

(xm)n = xmn


Power of a Power Property

400

Simplify using Laws of Exponents: x25 / x13

x12

400

Simplify using Laws of Exponents: (68)4

632

400

Simplify using Laws of Exponents: -8r10 / 2r5

-4r5

400

Simplify using Laws of Exponents: (7a5b6)4

2401a20b24

400

What is the name of this property?

am x a= am+n

Product of Powers Property

500

Simplify using Laws of Exponents: a30 / a20

a10

500

Simplify using Laws of Exponents: (p5)10

p50

500

Simplify using Laws of Exponents: (-9s)(2s3)

-18s4

500

Simplify using Laws of Exponents: (-5a2b7)7

-78125a14b49

500

What is the name of this property?

am/a= am-n

Quotient of Powers Property