Rational Exponent to Radical Form

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

• 6xy

• 6x

• xy

• 8/3



• 13

• 169

• 21

• 2197^2/3

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

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

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 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