me14nie
me14nie me14nie
  • 17-08-2018
  • Mathematics
contestada

Which value is equivalent to (7•3•2)^2 / (7•5) x (7^0)^3 / 5^-3 x 5^-9

Which value is equivalent to 7322 75 x 703 53 x 59 class=

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gmany
gmany gmany
  • 22-08-2018

[tex] \left(\dfrac{7\cdot3\cdot2}{7\cdot5}\right)^2\times\left(\dfrac{7^0}{5^{-3}}\right)\times5^{-9}\\\\=\left(\dfrac{6}{5}\right)^2\times\left(\dfrac{1}{5^{-3}}\right)\times5^{-9}\\\\=\dfrac{6^2}{5^2}\times\dfrac{5^{-9}}{5^{-3}}=6^2\times5^{-9-(-3)-2}=36\times5^{-8}=\dfrac{36}{5^8}\\\\\text{Used}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n} [/tex]

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