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Exponents: Solved Examples
Go through the given solved examples based on exponents to understand the concept better
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Directions for questions 1 to 5:
Applying the various rules of exponents and powers solve the following questions.
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Example 1:
Simplify (8/343)
2/3
x (49/16)
1/2
Sol:
(23/73)
2/3
x (72/42)
1/2
(2/7)
2
x (7/4)
(4/49) x (7/4) = (1/7)
Example 2:
Simplify 3
-3
x 27
5/3
x (81)
-3/4
Sol:
3
-3
x (3
3
)
5/3
x (3
4
)
-3/4
(1/3
3
) x 3
5
x 3
-3
(1/3
3
) x 3
5
x (1/3
3
) = 1/3
Example 3:
Simplify (2
n+3
) + 3 x (2
n+1
) / 5 x (2
n+1
) - 2
n
x 3
Sol:
2
n+1
(4+3) / 2
n
(5 x 2 - 3)
2
n+1
(7) / 2
n
(7) = 2
n+1-n
= 2
Must Read Exponents Articles
Exponents: Concepts & Formulas
Exponents: Solved Examples
Exponents: Practice Questions
Example 4:
Simplify 2
2x-3
= 2048 fid value of x
Sol:
2
2x-3
= 2
11
So 2x - 3 = 11
⇒ 2x = 10
⇒ x = 7
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Example 5:
&redic; (5/3)
6x-4
= 81/375 find value of x
Sol:
(5/3)
3x-2
= 3
4
/3x5
3
= (3/5)
3
(5/3)
3x-2
= (5/3)
-3
3x-2 = -3 ⇒ 3x -1 ⇒ x = -1/3
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