Perfect Cube, Fourth Powers, Fifth Powers, Sixth Powers!

For natural numbers \(a,b,c,d\), we are given

\[ \begin{eqnarray} a^5 & = & b^6 \\ c^3 & = & d^4 \\ d-a & = & 61 \\ \end{eqnarray} \]

What is the value of \(c-b\)?

×

Problem Loading...

Note Loading...

Set Loading...