6.5-6.7 Radicals and Rational Exponents

Put in rational exponent form:  $\sqrt{x^4y^5z}$  

•  $x^4y^5z$  

•  $x^2y^2z^{\frac{1}{2}}$  

•  $x^{\frac{1}{4}}y^{\frac{1}{5}}z^{ }$  

•  $x^2y^{\frac{5}{2}}z^{\frac{1}{2}}$  

•  $x^{\frac{1}{2}}y^{\frac{2}{5}}z^2$  

Tags

CCSS.HSN.RN.A.2

Put in radical form  $p^{\frac{3}{5}}$  

• 
• 
• 
• 
• None of these

Tags

CCSS.HSN.RN.A.2

Simplify  $x^{\frac{2}{3}}\cdot x^{\frac{5}{6}}$  

•  $x^{\frac{7}{9}}$  

•  $x^{\frac{10}{18\ }}or\ x^{\frac{5}{9}}$  

•  $x^{\frac{9}{6}\ }or\ x^{\frac{3}{2}}$  

•  $x^{\frac{-3}{-1}}\ or\ x^{3\ }$  

• None of these

Tags

CCSS.HSA.APR.A.1

Solve  $2\left(x+7\right)^{\frac{2}{3}}-5=7$  .  Round to the nearest hundredth.

• 3.30

• 7.70

• 14.70

• 110.58

• None of these

 $\frac{w^{\frac{8}{9}}}{w^{\frac{1}{3}}}$  

•  $w^{\frac{7}{6}}$  

•  $w^{\frac{5}{9}}$  

•  $w^{\frac{11}{9}}$  

•  $w^{\frac{7}{3}}$  

• None of these

Tags

CCSS.HSA.APR.A.1

Solve the equation. Remember to check for extraneous solutions.

• 10

• -5

• 8

• -2

• 2

Tags

CCSS.HSA.REI.A.2

Simplify the radical expression

• $-2\sqrt{6}-6\sqrt{5}$

• $\sqrt{6}-3\sqrt{5}$

• $2\sqrt{6}-3\sqrt{5}$

• $2\sqrt{6}$

• $-2\sqrt{6}-3\sqrt{5}$

Tags

CCSS.HSN.RN.A.2

Simplify  $\sqrt{20x^4}\cdot\sqrt{5x^6y}$  

•  $10x^5\sqrt{y}$  

•  $2x^5\sqrt{5y}$  

•  $2x^{10}\sqrt{y}$  

•  $2x^5\sqrt{y}$  

•  $4x^5\sqrt{5y}$  

Tags

CCSS.HSN.RN.A.2