Ch. 6 Exponents & Scientific Notation
Name___________________________________
Challenge Worksheet
Date________________ Period____
Write each number in scientific notation.
1) 8.8
2) 0.00078
Write each number in standard notation.
3) 1.01 × 10
−3
4) 9.3 × 10
4
Simplify. Write each answer in scientific notation.
3
4
5) (0.4 × 10 ) (0.08 × 10 )
7)
5
25 ⋅ 10
−5
8)
−4
−7
6) (0.5 × 10 ) (80 × 10 )
2 × 10
−1
5 × 10
−1
Simplify. Your answer should contain only positive exponents.
4 −1
9) 4x y
−2 0
⋅x y
10) 2x 4 y 3 z ⋅ 3x 2 y
Worksheet by Kuta Software LLC
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4 −4 4
0 4 −3
3 −2
11) x y z ⋅ 2x y z
12) x z
13) (4b)
14) (3x y
−2
15) (2a b
17)
)
16) (m n p
19)
21)
2 −2
2
3x
18)
−4
−2 −3 3
−1
−4 −2
20)
−2 −4
h j k
4a b
2b
3a b
(2 j 2k −2) 2
)
−1 3
−1 2
3ab
(
)
3 4 3
−4 3 2
x
2 −4
⋅ 3yx z
)
4
22)
2y z
4 3
4x y z
(
3
)
−1 4 −3
m p q
4
2m p
−2
Worksheet by Kuta Software LLC
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Ch. 6 Exponents & Scientific Notation
Name___________________________________
Challenge Worksheet
Date________________ Period____
Write each number in scientific notation.
1) 8.8
2) 0.00078
8.8 × 10
0
7.8 × 10
−4
Write each number in standard notation.
3) 1.01 × 10
−3
4) 9.3 × 10
0.00101
4
93,000
Simplify. Write each answer in scientific notation.
3
4
5) (0.4 × 10 ) (0.08 × 10 )
3.6 × 10
7)
5
5
25 ⋅ 10
−5
4 × 10
8)
−4
−7
6) (0.5 × 10 ) (80 × 10 )
3
(2 × 10 )
−11
2 × 10
−1
5 × 10
−1
4 × 10
−1
Simplify. Your answer should contain only positive exponents.
4 −1
9) 4x y
−2 0
⋅x y
10) 2x 4 y 3 z ⋅ 3x 2 y
6x 6 y 4 z
4x 2
y
Worksheet by Kuta Software LLC
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4 −4 4
0 4 −3
11) x y z ⋅ 2x y z
3 −2
2x 4 z
13) (4b)
14) (3x y
27x 9 y 12
)
16) (m n p
−4 3 2
2 −2
4b 6
a8
17)
−1 2
18)
−4
4a b
2b
x6
3
19)
)
−1 3
m6
n6p3
2
3x
)
3 4 3
1
16b 2
x
⋅ 3yx z
3x 5 y
z6
−2
15) (2a b
2 −4
12) x z
−1
2b 3
a
−4 −2
3ab
20)
−2 −4
3a b
a3b5
2y z
4 3
4x y z
1
2y z x
8 5
21)
(
(2 j 2k −2) 2
−2 −3 3
h j k
)
4
22)
(
3
)
−1 4 −3
m p q
4
2m p
−2
8m 3
q 12 p 3
256 j 28 h 8
k 28
Worksheet by Kuta Software LLC
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