Question - Simplifying Expression with Radical Exponents
Solution:
The image is rotated and not fully clear, but I will provide the steps for the equation that is visible:The problem looks like it involves simplifying the expression 2·3^(1/5) / (6^(2/5)·(3^(1/5))²)Step 1: Compute the exponent for 3^(1/5) when squared, which is (1/5) * 2 = 2/5.Step 2: Simplify the expression as such:2·3^(1/5) / (6^(2/5)·3^(2/5))Since 6 = 2·3, we can rewrite 6^(2/5) as (2·3)^(2/5), which is equivalent to 2^(2/5)·3^(2/5).3: The expression is now:2·3^(1/5) / (2^(2/5)·3^(2/5))4: We can now cancel out common terms:(2·3^(1/5)) / (2^(2/5)·3^(2/5)) = 3^(1/5) / 2^(2/5)5: The solution will be the simplified form of 3^(1/5) / 2^(2/5).If you can provide a clearer image or clarify the exact expression, I can offer more precise help.
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