In-Class Power Rules Examples 2022
(x2)3
x6
x5
x8
x1

(3t5)3
9t15
27t15
3t15
27t8
(b-2)-5
b-7
b-10
b7
b10
(5w-2)2
25w-4
25
w4
5w4
    1
25w4
(ab-2c0)4
a4b-8c0
    a
b8
  a4c4
   a4
b8
b8
(4m)2 • (m-2)3
  16m-4
  4
m3
  1
  16
16m4
m4
(-3a-1)2
-18a-2
18
a2
 •
18a
12
 2a0
a2
(a3b6c-4)2
a7b13
a6b12c2
a6b9c0
a5b8c6
abc8
1.
a3b2
a5b2
a2b4
a15b4
a2b0
a2
2.
x6y7
x2y
 1
 x4
x4y6
y6
x12y7
 1
x4y7
3.
  m
  1
 m9
m5
m-4
  m9
  1
m
5.
25xy3
  20y4
  5
5xy-1
y2
  5xy4
  5y4
6.
-9a-1b4
 -3
  3
3ab-4
  -3b8
  -3
a2b8
a2
7.
8m5n2
  n
4m2n
  2  
m3n2
4m3
  1
  1
2m3n
2m3
11.
  1
  m4
am4
a12
(
m
a3
)
-4
  m4
  m
a
a
9x2 • 2x-2
18x
18
18
18x-4
x4
-3t3 • -2t
6t4
-5t4
6t3
5t3
7n6(3n5)
10n30
21n30
10n11
21n11
-5z3• 7z4
-35z7
-35z12
35z12
2z7
2xy• x6y2
2x6y6
2x7y6
2x6y8
2x7y8
4a0• 5a3•-2a5
-40
-40a9
-20a8
-40a8
-4k2 • 7k-1
-28
k
28
k2
-28k
1
28k
6mn-4 • m5n2
6m5n-2
6m6n2
6m5
6m6
n2
n2
  • 24. 3-3
A) 1/9
B) -27
C) 1/27
D) -1/27
  • 25. 50
A) 0
B) 1/5
C) 1
D) 5
  • 26. -40
A) 4
B) -1
C) 1
D) -4
  • 27. (-2)0
A) -1
B) 2
C) -2
D) 1
  • 28. m-5
A) -m5
B) m5
C) 1/m5
D) -1/m5
  • 29. 4t-3
A) -1/4t3
B) 4/t3
C) 1/4t3
D) -4t3
  • 30. (3m)-2
A) 1/9m2
B) 9/m2
C) 3/m2
D) -1/9m2
  • 31. (5k)0
A) 1
B) 5k
C) 5
D) 1/5k
  • 32. -32
A) 9
B) 1/9
C) -1/9
D) -9
  • 33. 10x2/y-2
A) 10x
B) 10xy
C) 10xy2
D) 10x2y2
  • 34. 2/b-3
A) b3/2
B) -2b3
C) 8b3
D) 2b3
  • 35. t-2/v-3
A) tv6
B) -1/t2v3
C) v3/t2
D) 1/tv
  • 36. 8r3/2t-5
A) 6r3/t5
B) -4t5/r3
C) 6r3t5
D) 4r3t5
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