PDF 5 1 x x
EXPONENTS AND
8th Grade
RADICALS
46 Exponent
27 = 3
57?5? = 54
Index
38
1
x x 25= 5
bb =
3
2?x2? = 2 5
23 SRymadbiocal l
3 64 = 4
Radicand 75
Workbook 1
Product Rule
E
Use the product rule and rewrite each expression as single exponent.
1) 11 ? 11
2) 13 ? 13
3) 14 ? 14
4) 2 ? 2
5) 7 ? 7
6) 3 ? 3
7) 17 ? 17
8) 5 ? 5
9) 16 ? 16
10) 18 ? 18
11) 9 ? 9
12) 8 ? 8
13) 12 ? 12
14) 10 ? 10
15) 4 ? 4
16) 6 ? 6
17) 19 ? 19
?
18) 20 ? 20 ?1?
Product Rule
Use the product rule and rewrite each expression as single exponent.
1) (?12) ? (?12)?
2) (?2) ? (?2) ? (?2)
M 3) 10? ? 10 ? 10 ? 10?
4) (?36) ? (?36) ? (?36)
5) (?7)? ? (?7)
6) 14 ? 14? ? 14
7) 13 ? 13 ? 13 ? 13
8) 5? ? 5? ? 5 ? 5
9) (?29) ? (?29)
10) 3? ? 3 ? 3
11) 26 ? 26
12) 4? ? 4 ? 4
13) (?8)? ? (?8)
14) 35 ? 35? ? 35?
15) 18 ? 18? ? 18 ? 18
16) 21 ? 21? ? 21?
17) (?9) ? (?9)?
?
18) (?17)? ? (?17)?
?2?
Product Rule
Use the product rule and rewrite each expression as single exponent.
1) 20 ? 20 ? 20
2) 19 ? 19 ? 19
D 3) (?17) ? (?17)
4) 19 ? 19
7)
?
7 8
?
?
7 8
5)
2 5
?
2 5
?
2 5
6) (?9) ? (?9)
8) (?8) ? (?8) ? (?8)
9)
8 3
?
8 3
?
8 3
10) 12 ? 12 ? 12
11) 4 ? 4 ? 4 ? 4
12) 16 ? 16 ? 16 ? 16
13)
?
1 9
?
?
1 9
14) 3 ? 3 ? 3 ? 3
15) 5 ? 5 ? 5 ? 5
16) 5 ? 5 ? 5
17) (?2) ? (?2)
?
18) (?15) ? (?15)
?3?
Quotient Rule
E
Use the quotient rule and rewrite each expression as single exponent.
1) 10 ? 10
2) 7 ? 7
3) 18 ? 18
4) 12 ? 12
5) 15 ? 15
6) 17 ? 17
7) 4 ? 4
8) 20 ? 20
9) 14 ? 14
10) 16 ? 16
11) 11 ? 11
12) 6 ? 6
13) 9 ? 9
14) 5 ? 5
15) 13 ? 13
16) 19 ? 19
17) 2 ? 2
?
18) 8 ? 8 ?4?
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