Exploring Radicals and Rational Exponents

What is the term used to describe the number outside the radical symbol?

• Coefficient

• Exponent

• Index

• Radicand

If no index is visible on a radical, what is the assumed index?

• 4

• 3

• 2

• 1

How is a radical with an index of n related to a rational exponent?

• n to the power of 1

• 1 to the power of n

• n to the 1/n power

• A number to the 1/n power

What becomes the numerator of a rational exponent when converting from a radical?

• The index

• The radicand

• The base of the radical

• The exponent under the radical

In the conversion from radicals to rational exponents, what does the index become?

• The exponent

• The base

• The denominator

• The numerator

How do you write the cube root of x to the fourth power as a rational exponent?

• x to the 1/12 power

• x to the 12 power

• x to the 3/4 power

• x to the 4/3 power

When converting a rational exponent back to a radical, what does the denominator become?

• The index

• The radicand

• The base

• The exponent

What is the radical form of K to the 1/3 power?

• K to the power of 3

• The square root of K

• The fourth root of K

• The cube root of K

Convert the fourth root of x to the fifth power into a rational exponent.

• x to the 5/4 power

• x to the 4/5 power

• x to the 1/20 power

• x to the 20 power

Rewrite X to the 7/2 power as a radical.

• The cube root of X to the 7th power

• The seventh root of X squared

• The square root of X to the 7th power

• The square root of X to the 7th power