# Worksheet – 4.1-4.2 NAME______________________________ Algebra Review of exponents

Worksheet – 4.1-4.2 NAME______________________________

Algebra Review of exponents x m x a x b  x a

 b b x

 h  b x b h  x m

 n x n

1

 x

1 x

If b x  b y x

then x

 y

 x a x

1

2 x b 

3 simplified x

1 x

3 b

0 

1 if b n

  n  x mn x m

0 x m  n

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

5

3

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.