anonymous
  • anonymous
write the expression (-216)^4/3 in radical form.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
the 4 is a power and the 3 is an index\[\sqrt[3]{-216^{4}}\]
anonymous
  • anonymous
do you know how to evaluate the radical form?
anonymous
  • anonymous
\[\sqrt[3]{(-216)^4}=\sqrt[3]{2176782336}=1296 \]

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anonymous
  • anonymous
\[\sqrt[3]{((-2)^{3}(3)^{3})^{4}}\] \[so you are lefts with (-2 \times 3) raised \to the 4th power\]
anonymous
  • anonymous
the threes under the radical and the 3 index cancel. sorry about earlier post. having trouble with the equation button
anonymous
  • anonymous
its fine.

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