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begin mathsize 14px style 8 to the power of 1 half end exponent cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 to the power of 1 fourth end exponent close parentheses cubed end style = ....

  1. begin mathsize 14px style 2 cubed end style  

  2. begin mathsize 14px style 2 squared end style  

  3. begin mathsize 14px style 2 to the power of 4 end style  

  4. begin mathsize 14px style 2 to the power of 1 end style  

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begin mathsize 14px style 8 to the power of 1 half end exponent cross times 8 to the power of 1 fourth end exponent cross times open parentheses 2 to the power of 1 fourth end exponent close parentheses cubed equals 8 to the power of 1 half end exponent cross times 8 to the power of 1 fourth end exponent cross times 2 to the power of 3 over 4 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 2 cubed close parentheses to the power of 1 half end exponent cross times open parentheses 2 cubed close parentheses to the power of 1 fourth end exponent cross times 2 to the power of 3 over 4 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 to the power of 3 over 2 end exponent cross times 2 to the power of 3 over 4 end exponent cross times 2 to the power of 3 over 4 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 to the power of 3 over 2 plus 3 over 4 plus 3 over 4 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 to the power of fraction numerator 6 plus 3 plus 3 over denominator 4 end fraction end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 to the power of 12 over 4 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space equals box enclose 2 cubed end enclose end style   

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