Final answer:
The expression √(0.956x·y¹²), assuming x and y are nonnegative, simplifies to 0.956x·y¶.
Step-by-step explanation:
To simplify the expression √(0.956x·y¹²), we assume that x and y are nonnegative. We can take the square root of the variables separately. The square root of x· is simply x³.5, which is the same as x·, since raising a power to a fractional exponent is equivalent to taking its root. Likewise, the square root of y¹² is y¶, since (y¹²)¹² = y¹²×¹² = y¶. Therefore, the simplified form of the expression is 0.956x·y¶.