Exponents and Exponentials

Select all expressions that are equivalent to 64^2/3. (5 points)

Hint: 3 are correct.

• (√64)³

• (∛64)²

• 4²

• ∛64²

• ∛128

Tags

CCSS.HSN.RN.A.2

What is √9x⁴y⁷ in exponential form?

• 3xy

• 3x²y³

• 3x²y^3/2

Tags

CCSS.HSN.RN.A.2

What is 14^3/4 in radical form?

• ∜14³

• ∛14⁴

• ∜144

What is 5^-2/3 in radical form?

• ∛-25

• ∛25

• 1/∛25

Tags

CCSS.HSN.RN.A.2

What is ∛x² in exponential form?

• x^2/3

• x²

• x³

Scientists measure a bacteria population and find that it is 10,000. The next day they find that the population has doubled. Which function f could describe the bacteria population d days after the scientists first measured it, assuming it grows exponentially? (2 points)

• f(d) = 10,000 * 2^d

• f(d) = 10,000 * (∜2)^d

• f(d) = 10,000 * 1/2^d

Tags

CCSS.HSF.LE.A.2

A new car purchased in 2020 cost $45,000. The value of the car depreciates at a rate of 8.5% each year. What is the equation, in function notation, to represent the value of the car as a function of time, t, since 2020?

• f(t) = 45000 * (1 - 0.085)^t

• f(t) = 45000 * (1 + 0.085)^t

• f(t) = 45000 - 0.085t

• f(t) = 45000 * 0.085^t

Tags

CCSS.HSF-BF.A.1A

A new car purchased in 2020 cost $45,000. The value of the car depreciates at a rate of 8.5% each year. What is the approximate value of the car 10 years after it was purchased?

• $18,000

• $18,500

• $20,000

• $21,500