Algebra 2 Unit 3 Lesson 4 Positive Rational Exponents

Multiple Choice

Why is it important to understand positive rational exponents when studying complex numbers and algebra?

• Because they help solve equations involving roots and powers

• Because they are only used in geometry

• Because they are not relevant to real-world problems

• Because they are only used in statistics

Multiple Choice

Find the value of 1/2 · 5 · 4 mentally.

• 10

• 5

• 4

• 2

Multiple Select

Which of the following expressions is equivalent to 5^(2/3)?

• (√5)^2

• (∛5)^2

• √(5^2)

• ∛(5^2)

Open Ended

Use exponent rules to explain why these expressions are equal to each other: (5^(1/3))^2 and (5^2)^(1/3).

Open Ended

Express the number 16 as many ways as you can using exponents or roots. Think about how you might use fractions as exponents.

Multiple Choice

What is the value of 4√(9^2)?

• 9

• 3

• 81

• 6

Open Ended

Explain how you can determine which two whole-number powers of 2 the value of 2^(5/3) comes between.

Multiple Choice

What is 2^(5/3) raised to the third power?

• 2^5

• 2^8

• 2^3

• 2^15

Open Ended

How can roots be used to write exponents that are fractions?