Using Laws of Exponents with Rational Exponents

Simplify . Your answer should contain only positive exponents.$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$  

•  $x^{\frac{4}{3}}y^{\frac{5}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{1}{2}}$  

•  $x^{\frac{1}{3}}y^{\frac{3}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{4}{3}}$  

Tags

CCSS.HSA.APR.A.1

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

•  $4v^{\frac{1}{3}}$  

•  $\frac{4}{v^{\frac{1}{3}}}$  

•  $\frac{v^{\frac{1}{3}}}{4}$  

•  $\frac{1}{4v^{\frac{1}{3}}}$  

Tags

CCSS.HSA.APR.A.1

Simplify: 

• ∛121
• 121
• √11
• 1331

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

• √49¹¹
• 7¹¹ 
• 49
• 7⁴ = 2401

Tags

CCSS.HSN.RN.A.2

Simplify the rational expression
 $x^4\cdot x^5\cdot x^3$  

•  $x^{12}$  

•  $x^{19}$  

•  $x^{27}$  

•  $x^{60}$  

Tags

CCSS.HSA.APR.A.1

Simplify the rational expression
 $\left(\frac{b^8}{b^4}\right)^{^2}$  

•  $b^4$  

•  $b^6$  

•  $b^8$  

•  $b^{16}$  

Tags

CCSS.HSA.APR.A.1

 $\frac{m^3\cdot m^5}{m^2}$  Simplify the rational expression

•  $1$  

•  $m^4$  

•  $m^5$  

•  $m^6$  

Tags

CCSS.HSA.APR.A.1

 $a^2\cdot\left(a^3\cdot b^4\right)^2$  Simplify the rational expression

•  $a^7\cdot b^6$  

•  $a^8\cdot b^8$  

•  $a^{10}\cdot b^6$  

•  $a^{12}\cdot b^8$  

Tags

CCSS.8.EE.A.1

Simplify 4^1/3 x 4^4/3

• 4^5/3
• 4
• 2⁵

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

(6^3/4)^1/3

• 6^1/4
• 6^3/12
• 6^4/7
• 6^9/12

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3