Exploring Rational Exponent Properties in Algebra

What is the general form of an nth root of a number 'a'?

• a^(1/n)

• n^a

• n^(1/a)

• a^n

If n is even and a is less than zero, how many real nth roots does 'a' have?

• One

• Two

• Infinite

• None

What is the cube root of -27?

• 9

• 3

• -3

• -9

Evaluate 16^(1/4).

• 4

• 2

• 8

• 16

What is the result of (-16)^(1/4)?

• 2

• -2

• 4

• No real solution

How can 27^(2/3) be rewritten using roots?

• Cube root of 27 squared

• Square root of 27 cubed

• Fourth root of 27 squared

• Square root of 27 fourth power

What is the value of 16^(3/4)?

• 16

• 2

• 8

• 4

Given the formula r = (3V / 4π)^(1/3), what is the radius of a sphere with volume 113 cubic feet using π = 3.14?

• 5 feet

• 4 feet

• 3 feet

• 2 feet

What is the annual inflation rate if a house's value increases from $200,000 to $235,000 over 5 years?

• 3.3%

• 3.1%

• 3.2%

• 3.0%

How do you convert a decimal to a percentage?

• Multiply by 10

• Multiply by 100

• Divide by 10

• Divide by 100