Given that the cube root of 27 is 3, what is 27 4/3
?(1 point)
Responses
4
4
108
108
12
12
81
81
To find the value of 27 4/3, we need to raise 27 to the power of 4/3.
Using the property of exponents, we know that:
a^(m/n) = (n√a)^m
In this case, a = 27 and m/n = 4/3.
Let's substitute the values in the formula and find the result:
(27^(1/3))^4
⇒ (3)^4
⇒ 3 * 3 * 3 * 3
⇒ 81
Therefore, 27 4/3 is equal to 81.