unit 1a study guide

1. Study Guide 1A
Exponents and Scientific Notation
Name: ___________________________________________________
CIRCLE YOUR FINAL ANSWER☺
1) Evaluate the following:
a) (−4)3
b) −43
c) −24
d) (−2)4
e) 53
f) −33
2) Simplify the following expressions. Leave
your answers in exponent form with no
negative exponents. DO NOT EVALUATE!
a) (𝑚6
)2
e) (202
)3
i) 7𝑦−5
b) (𝑝−2
)4
f)
11−1
115 j)
𝑢2
𝑢9
c) (7𝑥4
𝑦2
)3
g)
𝑐6
𝑐−3 k) (2𝑟−3
)−2
d)
4−5
4
h) (3𝑝𝑞2
)4
l)
54
5−2
3) Simplify the following expressions. Leave no
negative exponents. Finally, EVALUATE your
answers.
a) 52
∙ 5−3
f)
(−6)3
(−6)5
b) 9−5
∙ 96
g) 1010
∙ 82
c) (23
)2
h) 40
∙ 50
d)
(−4)
(−4)4 i) 3−3
e)
(−2)6
(−2)3 j) (−5)−2
4) Express the following in exponential notation:
a) −4 ∙ −4 ∙ −4 b) 9𝑚 ∙ 9𝑚 ∙ 9𝑚
c) 2 ∙ 2 ∙ 𝑥 ∙ 𝑥 ∙ 𝑥 ∙ 𝑥 d)
3
7
∙
3
7
∙
3
7
∙
3
7
∙
3
7
5) The speed of Mrs. Robar’s stare is 2.902 x 103
feet per second. Write this number in standard
notation.
6) Write the following in scientific notation.
a) width of the tip of a pencil 0.5 mm
b) dust particle 0.000023 inches
c) dust mite 0.016 inches
d) amoeba 0.00000151
e) age of Earth: 4,600,000,000 years
f) US debt: $15,900,000,000,000
g) distance of sun: 92,960,000 miles

2. 7) Write 28 × 109 in scientific notation.
8) The lightest atom, hydrogen, weighs 1.7 𝑥1024
grams. How much do 8 of these atoms weigh?
Express your answer in scientific notation.
9) Evaluate and express your answers in scientific
notation.
a) (2.5 x 1011)( 3 x 102)
b) (3 x 10-9)(7 x 104)
c) (7.1 x 104
)(5 x 10−1
)
d) (8.5 x 10−2
)(6 x 10−1
)
10) Evaluate and express your answers in scientific
notation.
a)
15 𝑥 1011
3 𝑥 103
b)
5 𝑥 102
2 𝑥 109
11) Evaluate and express your answers in scientific
notation.
a) 3 𝑥 103
+ 4.2 𝑥 105
b) 7.2 𝑥 104
+ 8.05 𝑥 102
12) Evaluate and express your answers in scientific
notation.
a) 6.8 𝑥 105
− 4 𝑥 105
b) 7.2 𝑥 104
− 8.05 𝑥 102
13) Write in CORRECT scientific notation.
a) 12.5 x 104
b) 839.1 x 107
c) 82.4 x 10−5
d) 931 x 10-5
e) 0.43 x 107 f) 0.003 x 105
g) 0.94 x 10-2 h) 0.005 x 10-8
14) The diameter of a pink cell is 3.2 x 10-5 and the
diameter of a blue cell is 7 x 10-6. What is the sum of
a pink and blue cell? ______________________________
15.a. Tracey traveled 6.93 x 107 miles and
Stacey traveled 8.4 x 105 miles. How many
miles did they travel altogether?
_________________________
b. How many more miles did Tracey travel than
Stacey? ________________________________
16.a. The pink blood cell measures 8.04 x 10-7
cm while the purple blood cell measures 5.99 x
10-6 cm. How much do they measure together?
______________________________
b. How much more does the purple blood cell
measure than the pink blood cell?
________________________