Simplifying using the
Rules for Exponents
Perfect Squares
and
Perfect Cubes
Square Roots
and
Cube Roots
Rules for Exponents
Area of Squares
and
Volume of Cubes
100

Simplify.

12^-30/12^10

1/12^40

100

True or False 

49 is a perfect square

True

100

sqrt (144) = ?

12, -12

100

5380 = ?

1

100

What is the side length of a cube with a volume of 216 cubic feet?

(must have the proper label)

6 feet

200

Simplify.

((y^7)(y^-3))/y


y^3

200

True or False

16 is a perfect cube

False

200

3sqrt(27) =  ?

3

200

5^7 * 5^11 = ?

518

200

The room in the house has an area of 100 square yards.  What is the length of each side of the room?

(must have the proper label)

10 yards

300

Simplify.

(m^2)(m^-3)(m^7)

m^6

300

True or False

99 is a perfect square

False

300

What is the cube root of 343?

7

300

3^-2 = ?

1/9

300

The area of a square is 49 sq feet.  What is the length of one side? 

(need to have the proper label)

7 feet

400

Simplify.

(9^-6)(9)(9^5)

1

400

x2 = 81

What is the value of x?

9, -9

400

x= 121

What is the value of x?

11, -11

400

7^9 / 7^3 = ?

76

400

The volume of a cube is 64 cubic inches.  What is the length of one side?

(need to have the proper label)

4 inches

500

Simplify.

((3^5)^-2(3^9))/((3^6)(3^2)

1/3^9

500

x3 = 1000

What is the value of x?

10

500

y3 = 512

What is the value of y?

8

500

(x^4)^6 = ?

x24

500

Sally has an aquarium of fish that is shaped like a cube.  The tank has a volume of 27 cubic feet.  What is the length of one side of the aquarium?

(must have the proper label)

3 feet

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