Unit 5 Exponents Review

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

2.) Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

3.) Simplify
(45x⁶y²)/(5x⁴y⁹)

• (9x²)/y⁷
• 40x²y⁷
• 9x²y⁷
• 9x¹⁰y¹¹

4.) Simplify
(16x⁴y^-5)/(8a³b^-8)

• (a³y⁵)/(2x⁴b⁸)
• (2x⁴b⁸)/(a³y⁵)
• (8x⁴b⁸)/(a³y⁵)
• 2x⁴b⁸a³y⁵

5.) Simplify
(w^3/4z^8/7)(w^3/4z^6/7)   

• w^9/4z^48/7
• w^9/16z^48/49
• w^6/4z^14/7
• w^3/2z²

6.)  The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?

• 12a⁶b⁸
• 7a⁶b⁸
• 12a⁸b¹⁵
• 1a²b²

7.) The area of a rectangle is 36x⁶y⁴ square units.  What is the length if the width is 9x²y³?

• 27x³y^4/3
• 27x⁴y
• 4x⁸y⁷
• 4x⁴y

8.)  What is the area of the circle that has a radius of 5a⁴?  {Area= ∏r²}

• 5∏a⁶
• 10∏a⁸
• 25∏a⁸
• 25∏a¹⁶

9.) Find the next two terms in the sequence 3a⁴, 9a⁹, 27a¹⁴,…..

• 3a⁵
• 81a¹⁹, 243a²⁴
• 81a¹⁹, 162a²⁴
• 81a⁷⁰, 243a³⁵⁰

10.) Rewrite the following term using a radical:  a^1/2     

• √a
• √a²