Math, asked by pandrajuspandana179, 2 months ago

x/6power-4 divided by x power-6​

Answers

Answered by devarchanc
0

Question:

(\frac{x}{6} )^{-4} ÷ x^{-6}

Step-by-step explanation:

  • (\frac{x}{6} )^{-4}   = \frac{x^{-4} }{6^{-4} } \\    = \frac{6^{4} }{x^{4} } \\
  • x^{-6} = \frac{1}{x^{6} }  
  • Now, dividing them,

         = \frac{6^{4} }{x^{4} } \div  \frac{1}{x^{6} }\\\\\\ = \frac{6^{4} }{x^{4} } \times  x^{6}\\\\\\= 6\times 6 \times 6 \times 6 \times x^{2}\\ \\ = 1296 x^{2}

  • So the answer is 1296x^{2}.

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