Multiplying and Dividing Exponents

Multiplying

100

16² x 16⁷

16⁹

200

3⁵ x 3³ x 3³

3¹¹

300

(5x²)(5x³)(5x)

125x⁶

400

(8x³)(3y²)(2x⁴)(y³)

48x⁷y⁵

500

(2x²y²)(3x³y⁴)(xy)

6x⁶y⁷

Dividing

100

100⁹ / 100³

100⁶

200

5⁴ / 5

5³

300

(14x⁹)/ (7x⁴)

2x⁵

400

(8⁵a¹⁵)/(8²a⁷)

8³a⁸

500

(2¹⁸)/(2^x)=2¹³ , find the value for x.

x=5

Multiplying & Dividing

100

5^4.5³/5²

5⁵

200

x(x²)(x⁵)/x⁶

x²

300

(27ab⁵)(a⁵b)/(3ab)

9a⁵b⁵

400

[(x⁵)(x⁴)(x¹⁰)]/[(x⁶)(x⁷)]

x⁶

500

(32x¹⁹/x⁸) divided by (16x⁶/x²)

2x⁷

Area & Volume

100

The area of a rectangle with length=3⁵ and width=3³.

3⁸

200

The area of a triangle with base=2³ and height 2⁴.

2⁶

300

The volume of a rectangular box with length=4³, width=4², and height=4⁴.

4⁹

400

The area of a square with side=2x³.

4x⁶

500

The volume of a cube with side=5a²b⁵

5³a⁶b¹⁵ or 125a⁶b¹⁵

Mixed Bag

100

(12x)(12¹⁰x¹⁰)

12¹¹x¹¹

200

(6k⁵⁰)/(2k²⁰)

3k³⁰

300

(2mn)(2³m²n³)(2⁵m⁴n⁵)

2⁹m⁷n⁹

400

If (6³)(6⁵)/6^x=6⁴, find x.

x=4

500

(3xy)(3⁴x³y)(3²xy⁵)/(3⁵x²y⁴)=

3x³y³