Exploring Rational Exponents and Radicals

What is the term for the number underneath the radical sign?

• Exponent

• Base

• Radicand

• Index

Tags

CCSS.8.NS.A.1

If there is no index in a radical sign, what is the default degree of the root?

• 3

• 1

• 2

• 4

What is the cube root of 8 expressed as a rational exponent?

• 8^1/2

• 8^3/2

• 8^1/3

• 8^2/3

How would you express the fourth root of 16 using rational exponents?

• 16^1/2

• 16^1/3

• 16^1/4

• 16^1/5

Tags

CCSS.HSN.RN.A.2

Which of the following is equivalent to the fifth root of 32?

• 32^1/5

• 32^1/2

• 32^1/4

• 32^1/3

What is the simplified form of 64^(3/2)?

• 64

• 32

• 16

• 8

How would you express the sixth root of a to the fifth power in radical form?

• a^(5/6)

• a^(6/5)

• 6√a^5

• 5√a^6

Tags

CCSS.HSN.RN.A.2

What is the metabolic rate of a dog with a body mass of 18 kilograms using Keebler's law?

• 500 calories per day

• 641 calories per day

• 1000 calories per day

• 1868 calories per day

Using Keebler's law, what is the metabolic rate of a man with a body mass of 75 kilograms?

• 1868 calories per day

• 641 calories per day

• 500 calories per day

• 1000 calories per day

Tags

CCSS.HSF.IF.A.2

What is the fourth root of 256?

• 16

• 4

• 8

• 2