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Class 11
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Applied Mathematics
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Logarithm and Antilogarithm
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Indices
Indices
Revise with Concepts
Extending the Laws of Exponents
Example
Definitions
Formulaes
>
Powers with the Same Base
Example
Definitions
Formulaes
>
Power of a Power and Powers with Equal Exponents
Example
Definitions
Formulaes
>
Laws of Exponents Applied to Negative Exponents
Example
Definitions
Formulaes
>
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Learn with Videos
Laws of Exponents and Powers - I
4 mins
Laws of Exponents and Powers-II
4 mins
Negative Exponents and their Laws - I
4 mins
Negative Exponents and Their Laws - II
4 mins
Laws of Exponents
6 mins
Quick Summary With Stories
Powers with the Same Base
2 mins
Power of a Power and Powers with Equal Exponents
3 mins
Laws of Exponents Applied to Negative Exponents
2 mins
Meaning of Negative Exponents
2 mins
Dividing with the same Exponents
2 mins
Multiplying Numbers with the Same Exponents or Powers
2 mins
Dividing Powers with the Same Base
2 mins
Taking power of a power
2 mins
Laws of exponents
2 mins
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Important Questions
Simplify:
$5_{−7}×6_{−5}3_{−5}×10_{−5}×125 $
Easy
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>
$5_{x−3}×3_{2x−8}=225$
Easy
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>
Find the value of
$m$
for which
$5_{m}÷5_{−3}=5_{5}$
Easy
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>
If
$a_{x}=b,b_{y}=c,c_{z}=a$
then show that
$xyz=1$
.
Easy
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>
Simplify
$(216)_{−2/3}4 +(256)_{−3/4}1 +(243)_{−1/5}2 $
Medium
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>
Simplify and express the result in power notation with positive exponent.
(i)
$(−4)_{5}÷(−4)_{8}$
(ii)
$(2_{3}1 )_{2}$
(iii)
$(−3)_{4}×(35 )_{4}$
(iv)
$(3_{−7}÷3_{−10})×3_{−5}$
(v)
$2_{−3}×(−7)_{(−3)}$
Medium
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>
If
$(3_{m}.2)_{3}9_{n}.3_{2}.3_{n}−(27)_{n} =3_{−3}$
Show that:
$m−n=1$
Medium
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>
Evaluate :
$4(81)_{−2} $
Easy
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>
By what number should
$(3−2 )_{−3}$
be divided so that the quotient may be
$(274 )_{−2}$
Easy
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>
$a_{m}×a_{n}$
is equal to
Easy
View solution
>