Find the radical equivalent of 272/3 and compute it?
From my research, the question is actually looking for the radical equivalent of 27^(2/3). Let us solve this below:
27^(2/3) = [cube root (27)]^2 = 3^2 = 9
Therefore, the final answer to the expression is 9.
Answer: The radical equivalent of \(27^{\frac{2}{3}}\\\) is 9.
Step-by-step explanation:
Since we have given that
\(27^{\frac{2}{3}}\\\)
We need to find the radical equivalent.
so, we will use the "Exponential law":
\((a^m)^{\frac{1}{n}}=a^{\frac{m}{n}}\)
so, it becomes,
\(27^\frac{2}{3}\\\\=(3^3)^\frac{2}{3}\\\\=(3^\frac{3}{3})^2\\\\=3^2\\\\=9\)
Hence, The radical equivalent of \(27^{\frac{2}{3}}\\\) is 9.