Understanding Rational Exponents

What is the equivalent expression for the square root of 16 using rational exponents?

• 16^(1/3)

• 16^(3/2)

• 16^(1/2)

• 16^2

Why can't you have an even root of a negative number?

• It results in a complex number

• It is undefined

• It results in a non-real number

• It is always zero

If x^(2/5) = 4, what is the value of x?

• x = 2

• x = 4

• x = 32

• x = 16

What is the result of x^(1/4) = -2?

• x = 2

• No solution

• x = -16

• x = 16

How do you solve x^(-1/3) = 2?

• Multiply both sides by 3

• Raise both sides to the power of -3

• Take the cube root of both sides

• Square both sides

What is the value of x if x^(1/5) = -2?

• x = 8

• x = -8

• x = 32

• x = -32

What is the equivalent of 1/8 in terms of powers of 2?

• 2^(1/3)

• 2^(-3)

• 2^3

• 2^(-1)

If x^(2/6) = -1, what can be concluded?

• x = 1

• x = -1

• No solution

• x = 0

What is the result of solving x^(-1/3) = 1/2?

• x = 8

• x = -16

• x = -8

• x = 16

What is the final value of x if x^(-1/3) = 1/2?

• x = 16

• x = -8

• x = 8

• x = -16