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

Simplify:

c · c5

c6

100

Simplify:

(xz2)5

x5z10

100

Simplify:

(-2w4y)(5wy3)

-10w5y4

100

Simplify:

(5j6)4

625j24

100

What do we do to the exponents when we have the same bases being multiplied?  xa(xb)

Add them

200

Simplify:

b12 / b8

b4

200

Simplify:

(a3)5

a15

200

Simplify:

4x5y2 / 2x2y

2x3y

200

Simplify:

(8v9)5

32768v45

200

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

Subtract them

300

Simplify:

d22 · d12

d34

300

Simplify:

(x4)3

x12

300

Simplify:

(6b12)(3b2)

18b14

300

Simplify:

(-3a5b12)5

-243a25b60

300

What is anything to the zero power?


1

400

Simplify:

x13 / x5

x8

400

Simplify:

(c8)4

c32

400

Simplify:

-2r10 / 8r5

(-1/4)r5

400

Simplify:

(7a5b6)4

2401a20b24

400

What do we do with the exponents when we have a power to a power?  (xa)b

We multiply the exponents

500

Simplify:

a30 / a20

a10

500

Simplify:

(p5)10

p50

500

Simplify:

(-9s)(2s3)

-18s4

500

Simplify:

(-5a2b7)7

-78125a14b49

500

What do we do with the exponents when combining like terms?  xa + xb

Nothing - leave them alone!