1. Have out: U3D7 Bellwork: total:
Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator
U3D7
Bellwork:
Juanita invested $500 in an account that earns 6.75% annual interest compounded annually.
a) Write the rule A(t) that will represent the amount of money in t years.
b) How much money will she have in 30 years?
c) When will she have over $5000 in the account? Round to the nearest year.
total:

2. Bellwork:
Juanita invested $500 in an account that earns 6.75% annual interest compounded annually.
a) Write the rule A(t) that will represent the amount of money in t years.
multiplier: = 100% %
A(t) = 500(1.0675)t
= % +1 +1 +1 =
b) How much money will she have in 30 years? +1
A(30) = 500(1.0675)30
She will have $ in the account after 30 years.
A(30)  $ +1 +1
c) When will she have over $5000 in the account? Round to the nearest year.
5000 = 500(1.0675)t +1
total:
t  36 years +1
She will have $5000 in about 36 years. +1

3. Fill in your worksheet:
What does mean?
Consider: How would you simplify it? What does the “3” mean?
“What number times itself is 49?”
Let’s start with This means ______________________________
We know ___  ___ = 49. Therefore, 7 7 7
Another way of writing is ____. We call it the ____________.
square root
We call : __________, : __________, : __________, etc
cube root
fourth root
fifth root
means ______________________________________
“What number times itself times itself is 64?” 4 4
___  ___  ___ = 64. Therefore, 4 4

4. Part 1: Practice: Rewrite without the fractional exponent. Square
________ each side of the equation.
( )2
_____________ each side.
Square root
Verify using your calculator!
Therefore ____ = ____
Practice:
Rewrite each without the fractional exponent.
Write the following roots as fractional exponents.

5. Part 2: Practice: Rewrite without the fractional exponent. Cube
________ each side of the equation.
( )3
General Rule:
_____________ each side.
Cube root
Therefore ____ = ____
Practice:
Rewrite each without the fractional exponent.

6. More practice:
Rewrite the following roots as fractional exponents.

7. Part 3: Simplify each expression.
Step #1: Rewrite the base using _______________.
exponents
Multiply
Step #2: __________ the exponents.
Step #3: ____________.
Simplify a) b) c) d)

8. Part 4: Solve the equation using fractional exponents.
Step #1: Raise each side of the equation
to the _______________ exponent.
reciprocal
Simplify
Step #2: __________ the exponents.
Step #3: _________.
Solve

9. Practice:
Solve for x. a) b)

10. Finish today's assignment:
worksheet, FX