tybreyonnaHco2084 tybreyonnaHco2084
  • 21-10-2019
  • Mathematics
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Simplify the following rational expression without using a calculator: (12².6³.5²)/(18².15).

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sqdancefan
sqdancefan sqdancefan
  • 21-10-2019

Answer:

  160

Step-by-step explanation:

[tex]\dfrac{12^2\cdot 6^3\cdot 5^2}{18^2\cdot 15}=\dfrac{(2^2\cdot 3)^2\cdot (2\cdot 3)^3\cdot 5^2}{(2\cdot 3^2)^2\cdot (3\cdot 5)}\\\\=\dfrac{(2^4)(3^2)(2^3)(3^3)(5^2)}{(2^2)(3^4)(3)(5)}=(2^{4+3-2})(3^{2+3-4-1})(5^{2-1})=32\cdot 5\\\\=\bf{160}[/tex]

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