error: invalid operands to binary ^ (have ‘float’ and ‘double’)

Guys, I need help
When I compile my code, I get
error: invalid operands to binary ^ (have ‘float’ and ‘double’)
Here's some portion of my code:

#include <stdlib.h>
#include <stdio.h>
...
float freq;
const float key_magic = 2 ^ (1/12);
...
freq=440*(key_magic)^(atof(optarg)-49);

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