`a^(<sup>1</sup>/<sub>4</sub>)=b^(<sup>1</sup>/<sub>3</sub>)`

`a^(<sup>2</sup>/<sub>3</sub>)b=c^(3)`

Look at the information shown above.

`a<sup>17</sup> = c<sup>x</sup>`

Use the information to find the value of `x`.