Topic 5 Exponents and Exponential Functions

Write the expression in radical form.
y^1/2

• √y

• ∛y

• √y²

• ∛y²

Write the expression in radical form.
x^1.5

• √x³

• ∛x²

• x³

• √x

Simplify the expression:
36^1/2

• 6

• 36

• -6

• 1296

Simplify the expression:
27^1/3

• 3

• 9

• 27

• 3³

Simplify the expression:
3^1/3 * 9^1/3

• 3

• 9

• 1/3

• 27

Simplify completely.

• 8√3xy

• y√24xy

• 8y√3xy

• 8√24x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?

• .6

• .06

• 1.6

• .4

What are the horizontal asymptotes and y -intercepts of the functions f(x) = 0.8^x and h(x) = 0.8^x − 10 ?

• 0

• 1

• -10

• -9

• -11

• n^4/5

• n^5/4

• n²⁰