Show:
Product of Powers
Quotient of Powers
Mixed
Power of Powers
Power of Product
100

52 * 5

53

100

y8/y5

y3

100

(45*53*62)/(44*52*6)

4*5*6=120

100

(84)3

812

100

(5j6)4

(54)j24

200

c3 * c5

c8

200

57/54

53

200

(63*66*64)/(62*63*63)

65

200

(K7)5

K35

200

(11c4)3

(113)(c12)

300

(-6)2 * (-6)5

(-6)7

300

12w5/2w

6w4

300

(-2)5*(-3)4*(-5)3/(-2)3*(-3)*(-5)2

(-2)2*(-3)3*(-5)

300

[(32)2]2

38

300

(6a2b6)3

(63)(a6)(b18)

400

-4a5(6a5)

-24a10

400

815/813

82 = 64

400

What is the missing exponent? 2x?*(3x2)/(x6) = 6x3

7

400

The floor of the commons room at King Middle School is in the shape of a square with side lengths of x2y3 feet. New tile is going to be put on the floor of the room. Find the AREA of the floor.

(x2y3)2 = x4y6

400

(-5r4*3s12)4

(-54)(r16)(34)(s48)

500

(-7a4b3c3)(5ab4c2)

-35a5b7c5

500

x6y14/x4y9

x2y5

500

A megameter is 1,000,000,000 times longer than a millimeter. Write this number using powers with a base of 10

109

500

{[(x2)3]2}2

x24

500

A magazine offers a special service to its subscribers. If they scan a square logo on a smartphone, they can receive special offers from the magazine. Find the area of the logo if one side is 7a4b

(7a4b)2 = 49a8b2