Surds and Indices

(ab⁸c)(a^-17c¹⁰)

• a¹⁷b⁸c¹¹
• a¹⁶b⁸c¹¹
• (b⁸c¹¹)/(a¹⁶)
• a^-17b⁸c¹⁰

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify
(7a²)(5a⁶b)²

• 35a¹⁴b²
• 175a¹²b²
• 175a¹⁴b²
• 35a¹⁴b

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Reduce the following radicals:    $8\sqrt{84}\ -\ 5\sqrt{84}$  

•  $3\sqrt{21}$  
  

•  $2\sqrt{21}$  
  

•  $6\sqrt{21}$  
  

•  $5\sqrt{21}$  
  

Tags

CCSS.HSN.RN.A.2

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify the following surd

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify:

25 x ⁶

5 x ³

• 20x³

• 5x⁹

• 5x³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate 27^-1/3 x 49^-1/2 x 125⁰

• 210

• 21

• 1/21

• 1

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

If 5ⁿ = 125 find n.

• 25
• 1/3
• -3
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Solve 16^{2x - 1} = 64

• 1.5
• 1.25
• 4/5
• -1.25

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4