Math, asked by 7shivaramyandamuri, 3 months ago

simplify [ 1/2]^2×[1/2]^2×[1/2]^2​

Answers

Answered by iamsumanyes
1

Given :

  •  :  \implies \tt \:  ( \frac{ 1  }{ 2  ^ {   }    }  )  ^ { 2  }   \times  ( \frac{ 1  }{ 2  }  )  ^ { 2  }   \times  ( \frac{ 1  }{ 2  }  )  ^ { 2  }\\

Need To Do : Simplify .

EXPLANATION :

 :  \implies \tt \:  ( \frac{ 1  }{ 2  ^ {   }    }  )  ^ { 2  }   \times  ( \frac{ 1  }{ 2  }  )  ^ { 2  }   \times  ( \frac{ 1  }{ 2  }  )  ^ { 2  }\\

 :\longmapsto \tt \:\:\left(\frac{1}{2^{1}}\right)^{2}\times \left(\frac{1}{2}\right)^{4}  \\\\\ \: :\longmapsto \tt \:\: \left(\frac{1}{2}\right)^{2}\times \left(\frac{1}{2}\right)^{4} \\\\\ \: :\longmapsto \tt \:\:\frac{1}{4}\times \left(\frac{1}{2}\right)^{4}  \\\\\ \: :\longmapsto \tt \:\:\frac{1}{4}\times \left(\frac{1}{16}\right)  \\\\\ \:  \underline{\boxed {:\implies \tt \:\:\frac{1}{64} \:}} \:  \:  \bigstar

 \\

.°. Hence, the answer is (1/64).

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