HA2 - Rational Exponents and Simplifying Radicals

• 7²
• 7^1/2
• 7^-2
• 7^-1/2

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• 5x^5/4
• 5x^-5/4
• (5x)^-5/4
• (5x)^-4/5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

• 125
• 5
• 25
• 100

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

Re-write $x^{\frac{7}{8}}$ in radical form.

•  $\ ^7\sqrt{x^8}$  

•  $7x^8$  

•  $\left(^8\sqrt{x}\right)^7$  

•  $\frac{7x}{8}$  

Tags

CCSS.HSN.RN.A.2

Simplify  $\frac{x^7y^{-6}z}{x^2y^3z^5}$ . Your answer should not have any negative exponents.

•  $\frac{x^5}{y^9z^4}$  

•  $x^5y^{-9}z^{-4}$  

•  $\frac{x^5}{y^9z^5}$  

•  $\frac{x^5y^3}{z^5}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:

• 2
• 8
• 16
• 32

Tags

CCSS.HSN.RN.A.2