When fully simplified, $\sqrt[7]{1152}$ can be written in the form $a\sqrt[b]{c}$, where $a,$ $b,$ and $c$ are positive integers. What is the value of $a\cdot b\cdot c$?

Abike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally. how much did the shop spend originally? how much profit did the bike shop earn by selling the bicycle and helmet to you ?