Question

if (4^97-4^96+4^95) = k.4^95 then what is the value of k

Answer 1

Answer: K=13

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Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

$\sf{( {4}^{97} - {4}^{96} + {4}^{95} ) = k. {4}^{95} }$

TO DETERMINE

The value of k

EVALUATION

$\sf{( {4}^{97} - {4}^{96} + {4}^{95} ) = k. {4}^{95} }$

$\sf{ \implies \:k. {4}^{95} = ( {4}^{97} - {4}^{96} + {4}^{95} ) }$

$\sf{ \implies \:k. {4}^{95} = {4}^{95} ( {4}^{2} - {4}^{1} + 1) }$

$\sf{ \implies \:k. {4}^{95} = {4}^{95} ( 16 - 4 + 1) }$

$\sf{ \implies \:k. {4}^{95} =13 \times {4}^{95} }$

$\sf{ \implies \:k =13 }$

FINAL ANSWER

Hence the required value of k = 13

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