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anonymous
 5 years ago
my question.......
anonymous
 5 years ago
my question.......

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt[4]{486x ^{12}y ^{14}}\] simplify

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would it be \[3x ^{3}y ^{3}\] on the oustide and then \[\sqrt[4]{6y ^{2}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0anyone could help my assignment please

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The first thing you should do is try to break 486 down into prime factors and put some into powers of 4. So, \[486=2 \times 3^5\]factored into primes. Now, we can write,\[486=2 \times 3 \times 3^4=6\times 3^4\]Now we can write,\[(6 \times 3^4x^{12}y^{14})^{1/4}=6^{1/4}\times (3^4)^{1/4}\times (x^{12})^{1/4}\times (y^{14})^{1/4}\]\[=\sqrt[4]{6} \times 3^{4/4} \times x^{12/4} \times y ^{14/4}\]\[=\sqrt[4]{6}\times3\times x^3 \times y^{7/2}\]\[=3\sqrt[4]{6}x^3y^{7/2}\]
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