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Standard XI
Applied Mathematics
Indices
Question
Simplify
$$[(2)^{-1}+(4)^{-1}+(3)^{-1}]^{-1}$$
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Solution
Verified by Toppr
Let us simplify the given expression
$$[(2)^{-1}+(4)^{-1}+(3)^{-1}]^{-1}=[(1/2)+(1/4)+(1/3)]^{-1}$$
$$=[(6+3+4)/12]^{-1}$$
$$=[13/12]^{-1}$$
$$=12/13$$
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Similar Questions
Q1
Simplify
$$[(2)^{-1}+(4)^{-1}+(3)^{-1}]^{-1}$$
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Q2
Simplify:
{
(
3
4
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−
1
−
(
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}
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Q3
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[
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Q4
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Q5
Simplify:
3
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÷
{
1
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+
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÷
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