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Anonymous Anonymous
  • 04-04-2016
  • Mathematics
Answered

Simplify the exponents using the rules of exponents

(54b^3/b^15)^2/3

Verified Answer :

Panoyin
Panoyin Panoyin
  • 04-04-2016

\((\frac{54b^{3}}{b^{15}})^{\frac{2}{3}} = (\frac{54}{b^{12}})^{\frac{2}{3}} = \frac{(54)^{\frac{2}{3}}}{(b^{12})^{\frac{2}{3}}} = \frac{\sqrt[3]{54^{2}}}{\sqrt[3]{b^{24}}} = \frac{\sqrt[3]{2916}}{b^{8}} = \frac{9\sqrt[3]{4}}{b^{8}}\)

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