Radical Expressions and Rational Exponents

Write the expression in radical form.

•  $\sqrt{7^1}$  

•  $\sqrt{7^2}$  

•  $7$  

•  $49$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a rational exponent.

•  $10^3$ 

• $10^{\frac{2}{3}}$

• $10^{\frac{3}{2}}$

• $\left(10^3\right)^2$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a rational exponent.

•  $4^{\frac{2}{5}}$  

•  $4^{\frac{5}{2}}$  

•  $2^{\frac{4}{5}}$  

•  $2^{\frac{5}{4}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a rational exponent.

• $2^3$

• $2^{\frac{1}{3}}$

• $3^2$

• $3^{\frac{1}{2}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a rational exponent.

• $\frac{5}{3}$

• $\frac{3}{5}$

• $10^6$

• $10^{\frac{1}{6}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a radical.

• $\sqrt{10n^3}$

• $\left(\sqrt{10n}\right)^3$

• $\left(\sqrt{30n}\right)^2$

• $\sqrt{23n}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression using a radical.

• $25\sqrt{x}$

• $\sqrt{25x^2}$

• $\sqrt{5x}$

• $\sqrt{25x}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\sqrt{125n}$  

Write in simplified radical form.

•  $3\sqrt{n}$  

•  $5\sqrt{n}$  

•  $5\sqrt{3n}$  

•  $5\sqrt{5n}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{100v^3}$  

Write in simplified radical form.

•  $10v\sqrt{v}$  

•  $10v^{1.5}$ 

•  $50v^{1.5}$  

•  $50v\sqrt{v}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{75x^2y}$  

Write in simplified radical form.

•  $5x^2\sqrt{3y}$  

•  $25x^2\sqrt{3y}$ 

•  $25x\sqrt{3y}$  

•  $5x\sqrt{3y}$  

Tags

CCSS.HSN.RN.A.2