Rational Exponents & Radical Expressions

Simplify  $\left(2a^4b^6c^{-2}\right)^3$  . Your answer should not have any negative exponents.

•  $6a^{12}b^{18}c^{-6}$  

•  $8a^{12}b^{18}c^6$  

•  $\frac{8a^{12}b^{18}}{c^6}$  

•  $8a^7b^9c$  

Tags

CCSS.HSA.APR.A.1

Re-write  $\left(5xy\right)^{-\frac{1}{3}}$  in radical form.

•  $\ ^3\sqrt{5xy}$  

•  $\frac{1}{\ ^3\sqrt{5xy}}$  

•  $\frac{1}{\left(5xy\right)^3}$  

•  $\frac{5}{\ ^3\sqrt{xy}}$  

Tags

CCSS.HSN.RN.A.2

Simplify  $\left(x^{\frac{1}{7}}\right)^{\frac{3}{2}}$  and write your answer in radical form.

•  $^{21}\sqrt{x^2}$  

•  $\ ^{14}\sqrt{x^3}$  

•  $\sqrt{x^3}$  

•  $^3\sqrt{x^{14}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Re-write  $\ ^5\sqrt{\sqrt{a}}$  in rational exponent form.

•  $a^{\frac{1}{10}}$  

•  $a^{\frac{1}{5}}$  

•  $a^{\frac{1}{2}}$  

•  $\ ^{10}\sqrt{a}$  

Tags

CCSS.HSN.RN.A.2

• 125
• 5
• 25
• 100

Tags

CCSS.HSN.RN.A.2

Simplify.

• -25
• -5
• 1/25
• 1/5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The number under the radical sign or square root sign  is called the ______.

• radical sign
• radicand
• factor
• exponent

 $Simplify\ \&\ write\ in\ \exp onential\ form\sqrt{36x^4y^{10}z^{\frac{1}{2}}}$  

•  $6x^2y^5z^{ }$  

•  $6x^2\left|y^5\right|z$  

•  $6x^2\left|y^5\right|z^{\frac{1}{2}}$  

•  $6x^2\left|y\right|^5z^{\frac{1}{4}}$  

Tags

CCSS.HSN.RN.A.2