Understanding Exponents and Roots

What is the result of squaring a number with an exponent of one-half?

• Negative of the number

• Zero

• The number itself

• One

Which of the following is the principal square root of 16?

• -8

• 4

• 8

• -4

What type of numbers are created by square roots that cannot be expressed as a fraction?

• Rational numbers

• Whole numbers

• Irrational numbers

• Imaginary numbers

Why can't negative numbers have real square roots?

• Because negative numbers are imaginary

• Because squaring any number results in a positive number

• Because negative numbers are not real

• Because square roots are only defined for positive numbers

What is the cube root of 27?

• 27

• -3

• 9

• 3

How many cube roots does a positive number have?

• One

• Two

• Three

• Zero

What is the fifth root of 32?

• 8

• 2

• 4

• 16

Which of the following numbers has two sixth roots?

• -64

• 64

• 16

• 32

What is the term for the number written in the upper left of a radical sign?

• Exponent

• Index

• Base

• Root

What is the fourth root of 16?

• 2

• -4

• -2

• 4