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A note on inputting your answers:
Fractions such as
¾ should be entered as "3/4".
Powers are indicted using "^", thus,
x
7
is entered as "x^7".
A more complex expression such as
¼
x
2
y
3
is entered as " (1/4)x^2y^3 ".
Q1)
Evaluate the following (without using a calculator):
a)
3
3
=
b)
6
2
=
c)
8
0
=
d)
(-2)
3
=
e)
(2/3)
2
=
f)
0.1
3
=
g)
(1/2)
4
=
h)
1
50
=
i)
50
1
=
j)
(3/2)
3
=
Q2)
Write the following in the form 3
n
:
Standard Form:
a)
3
3
x
3
2
=
b)
3
x
3
2
x
3
3
=
c)
1 =
d)
3
7
÷
3
4
=
e)
3
7
÷
3
7
=
f)
3
7
÷
3
8
=
g)
1/3 =
h)
9 =
i)
1/9 =
j)
27 =
k)
1/27 =
l)
(3
4
)
3
=
m)
(1/9)
-1/2
=
n)
(1/9)
1/2
=
o)
9
2
x
27
-4
=
p)
9
-10
x
(1/9)
-1/2
x
(1/27)
-4
=
Q3)
Simplify the following:
Standard Form:
a)
3x
2
x
2x
3
=
b)
(3x)
2
x
2x
3
=
c)
(3x)
2
x
(2x)
3
=
d)
(3x
2
)
2
x
(2x)
3
=
e)
(3x
2
)
-2
x
9 x
3
=
f)
(3x
3/2
)
2
=
g)
(2x
2
)
2
x
(2x)
3
÷
4x
3
=
h)
(2x
2
)
2
x
2x
3
÷
4x
-3
=
i)
4x
3
y
2
x
7x
4
y
6
=
j)
4x
3
y
2
x
7x
4
y
-6
=
k)
4x
3
y
2
÷
(1
/
7) x
4
y
6
=
l)
4x
3
y
2
÷
(1
/
7) x
-4
y
-6
=
m)
4x
3
y
2
x
(1
/
8) x
4
y
6
=
n)
(x
y
3
)
3
x
x
5
(y
-2
)
3
=
o)
(x
4
y
3
)
3
x
x
5
(y
-2
)
-3
=
p)
(x
4
y
3
)
3
x
(x
5
y
-2
)
3
=
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