nth roots, cube roots, and square roots

Do not use a calculator, solve:
 $128^{\frac{1}{7}}$  

• 2

• 3

• 4

• 16.5

Do not use a calculator, solve:
 $-32^{\frac{1}{5}}$  

• 2

• -2

• -3

• ±2

Do not use a calculator, solve:
 $-125^{\frac{1}{3}}$  

• 5

• -375

• -5

• ±5

Rewrite using a radical:  $x^{\frac{1}{5\ }}$  

•  $5\left(\sqrt{x}\right)$  

•  $^5\sqrt{x}$  

•  $\sqrt{x^5}$  

•  $\frac{1}{\sqrt{x^5}}$  

Solve:
 $1^{\frac{1}{25}}$  

• 0

• 25

• 1/25

• 1

Write an equation for this phrase, "The square root of x is equal to 3."

• x² = 3
• x² = 9
• √x = 3
• √x = 9

Tags

CCSS.8.EE.A.2

Solve for x when x = (3/4)²

• x = 4/3
• x = 9/4
• x = 9/16
• x = 3/16

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.B.5

A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?

• 32 units
• 16 units
• 8 units
• 4 units

Tags

CCSS.7.EE.B.3

CCSS.4.OA.A.3

CCSS.3.OA.D.8

A square with side length s has an area of 0.81 square units. What is the length of the side of the square?

• 0.9 units
• 0.6561 units
• 0.405 units
• 0.3 units

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.G.A.1

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

• 1

• 10

• 100

• 300