Product and Quotient of Powers
Power of a Power
Power of a Product and Power of a Quotient
Negative Exponents
Simplify
100
Simplify (2
2
) (2
5
)
128
100
Simplify (4
2
)
2
256
100
Simplify (a
3
b
6
)
4
a
12
b
24
100
(x
-4
)(x
2
)
1/x
2
100
4
-2
1/16
200
Simplify (6
8
)/(6
6
)
36
200
Simplify (u
11
)
11
u
121
200
Simplify (3a / 7b)
2
(9a
2
) / (49b
2
)
200
(y
5
)
-2
1/y
10
200
3xy
-3
3x/y
3
300
Simplify (r
3
s
4
) (s
2
t
2
)
r
3
s
6
t
2
300
(q
10
)
0
1
300
Simplify (df)
2
(gh)
5
d
2
f
2
g
5
h
5
300
(4z
-5
)
2
16/z
10
300
5x
-4
5/x
4
400
Simplify (a
8
)/(a
17
)
a
-9
or 1/(a
9
)
400
Simplify (x
-18
)
3
x
-54
or 1/x
54
400
Simplify (p
5
/r
7
)
9
p
45
/r
63
400
((3y)/(5z))
-4
(625z
4
)/(81y
4
)
400
1/c
-2
c
2
500
Simplify (4
5
e
4
f
3
) (4
-5
e
-6
f
-1
)
(f
2
)/(e
2
)
500
Simplify: ((s
8
)
4
))
5
s
160
500
Simplify [(4m
6
n
14
)/(2m
3
n
7
)]
3
8m
2
n
2
500
(6x
4
y
-3
z
2
)*(2x
-2
y
9
z
-7
)
(12x
2
y
6
)/z
5
500
r
0
/s
-9
s
9
Continue
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