Math, asked by divyakanna3130, 1 year ago

4÷(216)2÷3+1÷(256)3÷4+2÷(243)1÷5

Answers

Answered by Arya12345gmailcom
0

Step-by-step explanation:

4÷(216)2÷3+1÷(256)3÷4+2÷(243)1÷5

  • 4÷216×2÷3+1÷256×3÷4+2÷243×1÷5
  • 54×2÷3+256×3÷4+2÷243÷5
  • 108÷3+768÷4+2÷243÷5
  • 36+192+2÷243÷5
  • 228+2÷243÷5
  • 230÷243÷5
  • 230/1÷243/1÷5/1
  • 230/1×1/243×1/5
  • then 230 is cut from 5=46/1
  • 46/1×1/243 answer
Answered by Salmonpanna2022
1

Step-by-step explanation:

 \bf \underline{Evaluate-} \\

 \sf\:  \dfrac{4}{ ({216)^{ \frac{ - 2}{3}  } } }  +  \dfrac{1}{ ({256)^{ \frac{ - 3}{4}  } } }  +  \dfrac{2}{ ({243)^{ \frac{ - 1}{5}  } } }

 \bf \underline{Solution-} \\

\sf \:  \:  \implies \: \:  \dfrac{4}{ ({216)^{ \frac{ - 2}{3}  } } }  +  \dfrac{1}{ ({256)^{ \frac{ - 3}{4}  } } }  +  \dfrac{2}{ ({243)^{ \frac{ - 1}{5}  } } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ ({6 \times 6 \times 6)^{ \frac{ - 2}{3}  } } }  +  \dfrac{1}{ ({4 \times 4 \times 4  \times 4)^{ \frac{ - 3}{4}  } } }  +  \dfrac{2}{ ({3 \times 3 \times 3 \times 3 \times 3)^{ \frac{ - 1}{5}  } } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ ({ {6}^{3} )^{ \frac{ - 2}{3}  } } }  +  \dfrac{1}{ ({ {4}^{4} )^{ \frac{ - 3}{4}  } } }  +  \dfrac{2}{ ({ {3}^{5} )^{ \frac{ - 1}{5}  } } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ ({ {6} )^{3 \times  \frac{ - 2}{3}  } } }  +  \dfrac{1}{ ({ {4} )^{ 4 \times \frac{ - 3}{4}  } } }  +  \dfrac{2}{ ({ {3})^{5 \times  \frac{ - 1}{5}  } } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ ({ {6} )^{ - 2  } } }  +  \dfrac{1}{ ({ {4} )^{  - 3  } } }  +  \dfrac{2}{ ({ {3})^{ - 1 } } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ {   \dfrac{1}{ {6}^{2} }   } }  +  \dfrac{1}{ {   \dfrac{1}{ {4}^{3} }   } }  +  \dfrac{2}{ {  \dfrac{1}{3}  } }

\sf \:  \:  \implies \: \:  \dfrac{4}{ {   \dfrac{1}{ 36}  } }  +  \dfrac{1}{ {   \dfrac{1}{ 64 }   } }  +  \dfrac{2}{ {  \dfrac{1}{3}  } }

\sf \:  \:  \implies \: \:  4 \times 36 +  64  +  2 \times 3

\sf \:  \:  \implies \: \:  144 +  64  +  6

\sf \:  \:  \implies \: \:  144 +  70

\bf \:  \:  \implies \: \:  214\\

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