## anonymous 5 years ago write the expression (-216)^4/3 in radical form.

1. anonymous

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

2. anonymous

do you know how to evaluate the radical form?

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

its fine.