# Worksheet – 4.1-4.2 NAME______________________________ Algebra Review of exponents

advertisement Worksheet – 4.1-4.2 NAME______________________________

Algebra Review of exponents

x a x b

x a

b b x

h

b x b h

1

x

If

b x x

1

b y

then

x

x

y x a x

1

2

x b

3

x m x n

x m

n x

x

1

3

n

 

x m n

simplified b

0

1 if

b

0

x mn

x m n

Simplify the following. Express your final answer with positive exponents.

25

p

8

1.

10

p

4

q

2. 4

z

4

2

z

3.

a

4

b

5

b

2

a

7

1

1

y y

3

5

4.

x

3

5

x y

4

2

3

5.

a

1

1

b

1

Solve for

x

:

6.

x

2

e

x

5

xe

x

0

Solve for

t

without using logarithms:

5

t

1

7.

2

3

t

4

8. Write a possible exponential function in the form

y

Cb x

, with

b

0

,

b

1

.

b) (0, 5) and (3, 10) c) (-2, 64) and (2, 20.25)

9. If \$10,000 is invested at an interest rate of 3% per year, compounded semiannually, find the value of

the investment if it was invested for 4 years.

10. If \$10,000 is invested at an interest rate of 3% per year, compounded continuously, find the value of the investment if it was invested for 7 years.