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114325
 2 years ago
write (27a^9)^2/3 in simplest form please help me ive been stuck on this for like 20 minutes now
114325
 2 years ago
write (27a^9)^2/3 in simplest form please help me ive been stuck on this for like 20 minutes now

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giolefpatceid
 2 years ago
Best ResponseYou've already chosen the best response.1\[(27a^{9})^{\frac{2}{3}} = 27^{\frac{2}{3}}(a^{9})^{\frac{2}{3}} = (3^3)^{\frac{2}{3}}(a^{9})^{\frac{2}{3}}\] \[=3^{3\frac{2}{3}}a^{9\frac{2}{3}} = 3^{2}a^{6} = \frac{1}{3^2}a^6= \frac{1}{9}a^6\]

giolefpatceid
 2 years ago
Best ResponseYou've already chosen the best response.1@amistre64 Could you please validate my solution? Thank you in advance!

giolefpatceid
 2 years ago
Best ResponseYou've already chosen the best response.1I think my solution is valid if a is positive.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1even if a is negative its fine

giolefpatceid
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you very much!
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