Quiz on Fractional Indices

What does the denominator of a fractional index represent?

• The power to raise the answer to

• The root of the number

• The base number

• The reciprocal of the base

What is the value of 64^{1/2}?

• 4

• 8

• 16

• 32

How do you evaluate 27^{2/3}?

• Square the number and then find the cube root

• Find the cube root and then square the result

• Add 3 to the number

• Multiply the number by 2

What is the result of 4^{-3/2}?

• 8

• 1/16

• 1/4

• 1/8

What does a fractional index of 1/4 indicate?

• The square of a number

• The fourth root of a number

• The reciprocal of a number

• The cube of a number

What is the value of 81^{3/4}?

• 9

• 27

• 243

• 3

Which of the following is a common misconception about fractional indices?

• Raising a term to the power of 2 means we find the square root

• Raising a term to the power of 1/2 means we find the square root

• Raising a term to the power of 3 means we cube it

• Raising a term to the power of 1/3 means we find the cube root

What is the first step in evaluating 4^{-3/2}?

• Square the number

• Cube the number

• Make the index positive by writing the reciprocal

• Find the square root of 4

What does x^{1/3} represent?

• The reciprocal of x

• The fourth root of x

• The cube root of x

• The square root of x

Which of the following is true about fractional indices?

• They cannot be negative

• They can represent both roots and powers

• They are only used in advanced mathematics

• They can only be applied to integers