which is equivalent to $243^{\frac{2}{5}}$?\n○ 3\n○ 6\n○ 9\n○ 12
which is equivalent to $243^{\frac{2}{5}}$?\n○ 3\n○ 6\n○ 9\n○ 12
Answer
Explanation:
Step1: Recall exponent rule (a^{\frac{m}{n}}=\sqrt[n]{a^m}) or ((\sqrt[n]{a})^m)
We can rewrite (243^{\frac{2}{5}}) as ((\sqrt[5]{243})^2) or (\sqrt[5]{243^2}). First, find the fifth root of 243.
Step2: Find the fifth root of 243
We know that (3^5 = 243) (since (3\times3\times3\times3\times3 = 243)), so (\sqrt[5]{243}=3).
Step3: Square the result
Now, square the result from Step 2: (3^2 = 9).