4.4 Simplifying Algebraic Expressions Involving Exponents Worksheet Page 6
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1
2
3
4
5
6
7Simplify. Express each answer with positive exponents.
2.
3
4
24
21
(n
)
(x
)
x
10
4
23
a)
y
( y
)
c)
e)
23
24
23
(n
)
x
4
2
23
27
w
(w
)
(b
)
5
23
23
21
b)
(x
)
(x
)
d)
f )
9
22
21
25
(w
)
b(b
)b
7
2
3
x
( y
)
Consider the expression
.
3.
5
4
x
y
a) Substitute
x 5 22
and
y 5 3
into the expression, and evaluate it.
b) Simplify the expression. Then substitute the values for x and y to
evaluate it.
c) Which method seems more efficient?
PRACTISING
Simplify. Express answers with positive exponents.
4.
22
2
2
x)
(ab)
(w
2
3
3
21
a)
(pq
)
(p
q
)
c)
e)
5
2
3
21
b
(x
)
w
a
b
21
22
a
3
b
22
2
2
(ab)
x
m
n
b)
d)
f )
y
3
2
2
22
23
(m
n
)
a
b
Simplify. Express answers with positive exponents.
5.
21
3
25
3
2
(10x)
y
p
(r
)
4
2
2
3
a)
(3xy
)
(2x
y)
c)
e)
3
2
2
2
23
21
15x
y
(p
r)
(p
)
3
2
4
2
2
a
3
4
3
b
21
21
(2a
)
(3m
n
)
(x
y)
(x
y
)
b)
d)
f )
2
22
6
2
23
22
4ab
12m
n
(x
y
)
Simplify. Express answers with positive exponents.
6.
"25m
K
5
0.2
212
a
22
b
(32x
)
1
1
2
4
6
a)
(x
)
(x
)
c)
"36m
e)
2
3
10
21
10
(x
)
"1024x
10
3
2
20
8
0.5
(10x
)
9(c
)
Ä
3
"512x
b)
d)
f )
6
21
9
12
0.25
(10x
)
27
(16c
)
Evaluate each expression. Express answers in rational form with positive
7.
exponents.
1
6
4
(16x
y
)
for
x 5 2,
y 5 1
a)
2
1
22
(9p
)
2
for
p 5 3
b)
2
6p
1
4
6
(81x
y
)
2
for
x 5 10,
y 5 5
c)
1
9
3
8(x
y
)
3
1
a
4
21
b
(25a
)
2
d)
for
a 5 11,
b 5 10
2
22
(7a
b)
236
4.4 Simplifying Algebraic Expressions Involving Exponents
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