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Homework problems from a university-level algebra 1 course. The problems cover topics on simplifying expressions with integer exponents and converting numbers to scientific notation. Students are required to use the power rules to simplify expressions and express answers without fractions in the first part, and write numbers in decimal notation and scientific notation in the second part.
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MATH 1100 - Algebra 1 HW_8b Í1.4 Integer Exponents (Textbook, p.34-35. Suppl, p.9-10)
INTEGER EXPONENTS (cont.)
28 x
57 a
5 4 3 a b
d.
0 6 3 4
2 x y z y
e.
2 3 2 0 4
a b c a b
f.
3 0 3 2 5
a b c a − b
g.
2 3 3 4
2 x y x y
− − −
h.
3 53 6 1 2
a b a b
− − −^ −
a.
3 2 4 4 2 3
a b a b
− − − −
4 2 0 2 3 x y z − −
c.
3 2 4
x y
−^ − −
d.
2 0 5
a b c a b c
− −
e.
3 3 2 4 3
x y x y
− −^ − − −
f.
8 6 9 5 0
− − − −
h.
22 4 3 3
a b a b −
MATH 1100 - Algebra 1 HW_8b Í1.4 Scientific Notation (Textbook, p.35. Suppl, p.10-11, Online Suppl. 5.1)
SCIENTIFIC NOTATION
a. 7.13 10⋅^5
b. 1.863 10 ⋅ −^2
a. 470 b. 1230 c. 1,730, d. 5,318,000,
e. 0. f. 0. g. 0. h. 0.
a. 0.00000359 ⋅ 104
b. 6,530, 000 10⋅^4
c. − 0.00000000109 10⋅^6
d. 0.00086 10 ⋅ −^6
e. 0.0000341 10⋅^12
f. 4, 273, 000, 000 10 ⋅ −^4
b.
5 6
− −
c.
2
− −
d.
5
e.
25
f.
6
− −