To calculate 2 to the power of 4/3, we can use the property of exponentiation that states:
a^(m/n) = (n√a)^m
Applying this property, we have:
2^(4/3) = (3√2)^4
Calculating the cube root of 2, we get:
3√2 ≈ 1.26
Substituting this value back into the equation, we have:
(3√2)^4 ≈ 1.26^4
Calculating 1.26 raised to the power of 4, we get:
1.26^4 ≈ 2.29
Therefore, 2 to the power of 4/3 is approximately equal to 2.29.