Radicals and Rational Exponents_1

What is a radical?

• A way of writing the square root of a number

• A way of writing the nth root of a number

• A way of writing the cube root of a number

• A way of writing the fourth root of a number

What is the index in a radical?

• The root being taken

• The number under the radical

• The power inside the radical

• The denominator of the rational exponent

What is the radicand in a radical?

• The numerator of the rational exponent

• The power inside the radical

• The root being taken

• The number under the radical

If there is no index in a radical, what is assumed?

• It is assumed to be a fourth root

• It is assumed to be a cube root

• It is assumed to be a fifth root

• It is assumed to be a square root

How is a radical related to a rational exponent?

• A radical with an index of n is the same as a number to the 1 power

• A radical with an index of n is the same as a number to the N power

• A radical with an index of n is the same as a number to the N over 1 power

• A radical with an index of n is the same as a number to the 1 over N power

What is the rational exponent for the cube root of x to the fourth power?

• X to the 4 over 2 power

• X to the 3 over 4 power

• X to the 4 over 3 power

• X to the 3 over 2 power

What is the radical form of M to the 7/5 power?

• The fourth root of M to the 7th power

• The fifth root of M to the 7th power

• The seventh root of M to the 5th power

• The fifth root of M to the 7th power

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

• The fifth root of K

• The fourth root of K

• The square root of K

• The cube root of K

What is the radical form of Y to the 9/2 power?

• The fourth root of Y to the 9th power

• The square root of Y to the 2nd power

• The fifth root of Y to the 9th power

• The square root of Y to the 9th power

How do you convert a rational exponent to a radical?

• The exponent under the radical becomes the denominator and the index becomes the numerator

• The exponent under the radical becomes the numerator and the index becomes the denominator

• The exponent under the radical becomes the numerator and the index becomes the numerator

• The exponent under the radical becomes the denominator and the index becomes the denominator