Final answer:
The correct approach is to break down the radicals, apply the rules of exponents by dividing exponents by 2 under the radical, and then multiply the simplified terms to get the final answer.
Step-by-step explanation:
The question involves simplifying radical expressions and working with exponent rules in algebra. The student appears to be trying to simplify '∙27u¹⁶∙9x 3 u¹⁶exponents are divided by 2 when under radical 3u⁸∙3'. This expression requires knowledge of how to multiply and simplify radicals, as well as how to work with exponents.
To simplify the given expression, you first need to break down the radicals and apply the exponent rules. For instance, the square root of 27 can be simplified to 3∙∙3 because 27 is 3³. Applying the rule that exponents are divided by 2 under a square root simplifies to u⁸. So, ∙27u¹⁶ would be simplified to 3u⁸. The square root of 9 is 3, and if we assume '3 u¹⁶exponents are divided by 2' is intended to mean that the square root of u¹⁶ is u⁸, then the expression becomes 3u⁸∙3. The multiplication of these terms then follows the rules mentioned above.