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Online Quiz (
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Questions Per Quiz =
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8
10
High School Mathematics - 2
1.15 Laws of Exponents
If m and n are positive integers and a not equal to 0, then,
a
^{m}
x a
^{n}
= a
^{m+n}
a
^{m}
/a
^{n}
= a
^{m-n}
(a
^{m}
)
^{n}
= a
^{mn }
(ab)
^{m}
= a
^{m}
. b
^{m }
a
^{-1}
= 1/a
Example
: a
^{7}
x a
^{5}
Solution
: a
^{7-5}
Answer
: a
^{2}
Directions
: Solve the following.
Q 1
: Find x if 4
^{2x}
= 128
3/4
7/4
1
Q 2
: Find x if 25
^{4x}
= 125
^{7x-13}
4
3
5
Q 3
: Find x if 3
^{2x}
= 9
^{3x-4}
2
3
1
Q 4
: Find x if x
^{3/4}
= 8
8
16
2
Q 5
: (4
^{n+2}
- 4
^{n+1}
)/(5 x
n-4
^{n}
)
3
0
1
Q 6
: (2x
^{3}
/3y
^{-2}
)
^{3}
23/27 x
^{9}
y
^{6}
11/27 x
^{9}
y
^{6}
8/27 x
^{9}
y
^{6}
Q 7
: (5
^{3}
x 5
^{7}
/5
^{10}
/25
1/24
1/25
1
Q 8
: (a
^{6}
b
^{-12}
)
^{1/3}
/(a
^{-4}
b
^{8}
)
^{1/3}
a
^{6}
/b
^{5}
a
^{3}
/b
^{}
a
^{3}
/b
^{6}
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