The expression 3√64¹2 can be rewritten as 3 times the cube root of 64 to the power of 12.
To simplify this expression, we start by finding the cube root of 64, which is 4. The cube root of a number is the value that, when multiplied by itself twice, gives the original number. In this case, 4 * 4 * 4 = 64.
Next, we raise 4 to the power of 12, which means multiplying 4 by itself 12 times. This results in a large number.
Finally, we multiply the result by 3 to get the final expression. The equivalent expression is:
3 * (4^12)
Now, we can evaluate the expression by calculating 4 raised to the power of 12:
4^12 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16,777,216
Finally, we multiply the result by 3:
3 * 16,777,216 = 50,331,648
Therefore, the expression 3√64¹2 is equivalent to 50,331,648.