Simplifying and Solving with Rational Exponents and 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

• 2^3/5
• -2^3/5
• 2^5/3
• 8⁵

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.HSA.APR.A.1

• (5x)^-2/1
• (5x)^2/1
• (5x)^-1/2
• (5x)^1/2

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• (6v)³
• 6v^3/2
• (6v)^3/2
• (6v)^2/3

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

• 125
• 5
• 25
• 100

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2