Determine the value of the expression 4 ^ 3 * 4 ^ - 6
To calculate this expression, we first simplify each term individually and then multiply the results.
4 ^ 3 = 4 * 4 * 4 = 64
4 ^ -6 = 1 / 4 ^ 6 = 1 / 4 * 4 * 4 * 4 * 4 * 4 = 1 / 4096 = 1 / 16384
Now, we multiply the two simplified terms together:
64 * 1 / 16384 = 64 / 16384 = 1 / 256
Therefore, the value of the expression 4 ^ 3 * 4 ^ -6 is 1 / 256.