130k views
1 vote
Simplify √(0.956x⁷y¹2), assuming x and y are nonnegative.

a. 0.956x⁷y⁶
b. 0.956x⁶y⁷
c. 0.956x⁸y¹2
d. 0.956x⁷y¹2

1 Answer

2 votes

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¶.

User Robert Hume
by
9.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories