Alg 2 Test on Sections 3.1, 3.2 and 3.6

Find the indicated nth root of a

n = 3, a = 512

• 6

• 8

• 9

• 7

Simplify the following expression without using a calculator.

64^5/6

• 16

• 32

• 128

• 48

 $\sqrt{20x^6y^7}$ 

Simplify the expression. 

•  $4x^2y^2\sqrt{5x}$  
  

•  $2xy\sqrt{5y}$  

•  $x^3y^3\sqrt{20y}$  

•  $2x^3y^3\sqrt{5y}$  

(4^5/2)(4^-1/2)

• 16

• 4

• 64

• 4^-5/4

 $\sqrt{\frac{x^{12}}{y^8}}$  

Simplify the expression.

•  $\frac{x^4}{y^6}$  

•  $x^6y^4$  

•  $\sqrt{\frac{x^6}{y^4}}$  
  

•  $\frac{x^6}{y^4}$  
  

Simplify (1000x¹⁵y⁶z¹²)^1/3

• 100x⁵y²z⁴

• 10x³y⁵z⁴

• x⁵y²z⁴

• 10x⁵y²z⁴

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Simplify:

343^2/3 + 216^1/3 - 729^1/3

• 64

• 44

• 46

• 52

Simplify . Your answer should contain only positive exponents.  $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$  

•  $\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $a^{\frac{1}{2}}b^{\frac{1}{2}}$  

•  $-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $-a^{\frac{1}{2}}b^{\frac{1}{2}}$  

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.  $\frac{2x^{\frac{1}{2}}y^{\frac{1}{3}}}{2x^{\frac{4}{3}}y^{-\frac{7}{4}}}$  

•  $\frac{y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$  

•  $\frac{x^{\frac{5}{6}}}{y^{\frac{25}{12}}}$  

•  $\frac{2y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$  

•  $\frac{y^{\frac{17}{12}}}{x^{\frac{5}{6}}}$  

Tags

CCSS.HSA.APR.A.1