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if(0.04)^2/0.008*(0.2)^6=(0.2)^k then value of k is …

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if(0.04)^2/0.008*(0.2)^6=(0.2)^k then value of k is equal to

  • 1 answers

Payal Singh 6 years, 9 months ago

{tex}{(0.04)^{2}\over 0.008\times (0.2)^6}=(0.2)^k{/tex}

{tex}=> {((0.2)^2)^{2}\over( 0.2)^3\times (0.2)^6}=(0.2)^k{/tex}

{tex}=> {(0.2)^4\over( 0.2)^9}=(0.2)^k{/tex}

{tex}=> (0.2)^{4-9}=(0.2)^k{/tex}

{tex}=> (0.2)^{-5}=(0.2)^k{/tex}

On comparing both sides, we get

k = -5

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