Algebra 2 Test on Radicals and Rational Exponents

Simplify:

• 6

• 12

• 36

• 432

∛k⋅∜k can be rewritten as:

• k^7/12

• k^1/12

• k^1/7

• ∜k³

Simplify.

• A

• B

• C

• D

√3

• 7√3

• Can't Simplify

• 6√15

• 6√3

Rewrite in radical form.

• A

• B

• C

• D

Rewrite the expression without using a radical:

• (2x + 1)^3/4

• (2x + 1)^4/3

• 4(2x + 1)³

• 3(2x + 1)⁴

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

Q1. What is the value of the expression?

• 8√6

• 8√12

• 12√6

• 12√12

• y²z¹⁰√xy
• 20yz√xy
• xy²z¹⁰√y
• yz⁶√xy²z²

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴

• (3x)³∕ ⁴

• (3x)⁴⁄ ³

• 3x⁴⁄ ³