Convert Between Rational Exponents and Radical Form

What would be the radicand, if the following expression were rewritten in radical form?

5(xy)^5/6

• 5

• x

• 5/6

• xy

What would be the root index, if the following expression were rewritten in radical form?

12x^5/8

• 12

• 8

• 5

• x

What is the root index for the square root of 9?

• 1

• 2

• 3

• 4

Rewrite the expression using a rational exponent.

• 4xy¹¹

• xy⁴⁴

• (xy)^11/4

• (xy)^4/11

simplify the following..

36^1/2

• 36

• 6

• 9

• 18

If the rational exponent of an expression is 5/2, what is the exponent when written in radical form?

• 5/2

• 5

• 2

• 10

Which of the following does not simplify to an integer?

• 27^2/3

• 
• 16^1/2

• 

If rewritten with a radical exponent, which of the following would be the base of the expression provided?

• 6xy

• 6x

• xy

• 8/3

Simplify the following

• 4

• 9

• 2

• 3



• 13

• 169

• 21

• 2197^2/3