Rewriting Radicals and Rational Exponents

Simplify the radical expression

• 
• 
• 
• 

Rewrite in Radical Form.

• A

• B

• C

• D

Rewrite in Exponential Form.

• A

• B

• C

• D

Rewrite in radical form.

• A

• B

• C

• D

Rewrite with a rational exponent.

• 216

• 6^1/2

• 6²

• 6^3/2

Answer explanation

Remember when you don't see the root, it is 2!

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

• power

• root

• radical

• index

Rewrite the expression without using a radical:

• (2x+1)^3/4

• (2x+1)^4/3

• 4(2x+1)³

• 3(2x+1)⁴

• (8x+1)^1/4

Rewrite in rational exponent form

• 4^4/3

• 4^3/4

• 2^4/3

• 2^3/4

• Cannot because the cubic root of 4 is not an integer

∜m³ is the same as which answer?

• m^3/4

• m¹²

• m^4/3

• m⁷

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3