Radical and Rational exponent equations

Solve the equation below.

• x = 32

• x = 64

• x = 6

• x = 2

What is the first step when solving the radical equation  $4\sqrt{x-7}+\ 12\ =\ 28$  

• Divide both sides of the equation by 4

• Square both sides of the equation

• Subtract 12 from both sides of the equation

• Add 7 to both sides of the equation

• Check your solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve the radical equation  $\sqrt{3x+12}=\sqrt{x+8}$  

• x = 2

• x = 10

• x = -2

• x = -4

Solve the radical equation  $\sqrt{2x+1}\ =\ 3$  

• x = 4

• x = 3

• x = 1

• x = 5

What is the rational exponent form of the following?

• $6^{\frac{4}{3}}$

• $6^{\frac{3}{4}}$

• $4^{\frac{6}{3}}$

• $4^{\frac{3}{6}}$

What is the rational exponent form of the following?

• $y^{\frac{10}{5}}$

• $10^{\frac{y}{5}}$

• $10^{\frac{5}{y}}$

• $y^{\frac{1}{2}}$

Rewrite  $25^{\frac{3}{2}}$  as a radical expression.

•  $\sqrt{25^2}$  

•  $\left(\sqrt{25^3}\right)^2$  

•  $\sqrt{25^3}$  

•  $2\sqrt{25^3}$  

• 4

• 4, -1

• -1

• -4

(3x)⁰

• (3x)¹
• 0¹
• 1
• 3x

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• a⁴/ 3
• ⁶√a⁵
• ⁹√a⁴
• ³√a⁴

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2