Question

simplify 2a^1/2×a^2/3×6a^7/3 ÷ 9a^-5/3×a^3/2 if a=4
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Answer 1

Answer:

= - 7.111111

Step-by-step explanation:

$= \frac{ \frac{2a}{2} . \frac{a^{2} }{3} . \frac{6a^{7} }{3} }{\frac{9a^{-5} }{3}. \frac{a^{3} }{2} } \\\\\\= \frac{ \frac{2(4)}{2} . \frac{(4)^{2} }{3} . \frac{6(4)^{7} }{3} }{\frac{9(4)^{-5} }{3}. \frac{(4)^{3} }{2} }\\\\\\= \frac{ \frac{8}{2} . \frac{16 }{3} . \frac{98,304 }{3} }{\frac{- 9,216 }{3}. \frac{64 }{2} }\\\\\\= \frac{\frac{1,25,82,912}{18} }{\frac{- 5,89,824}{6} } \\\\\\= \frac{6,99,050.67}{- 98,304} \\\\\\= - 7.111111$

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