Question

write the expression (-216)^4/3 in radical form.

Answer 1

the 4 is a power and the 3 is an index\[\sqrt[3]{-216^{4}}\]

Answer 2

do you know how to evaluate the radical form?

Answer 3

\[\sqrt[3]{(-216)^4}=\sqrt[3]{2176782336}=1296 \]

Answer 4

\[\sqrt[3]{((-2)^{3}(3)^{3})^{4}}\]

\[so you are lefts with (-2 \times 3) raised \to the 4th power\]

Answer 5

the threes under the radical and the 3 index cancel.
sorry about earlier post. having trouble with the equation button

Answer 6

its fine.