Simplify. Assume all variables represent positive real numbers.
-

Question

Quizplus · Accepted Answer

The given expression can be simplified using the identity -

a^b * a^c = a^(b+c)

Using this identity, we get:

(25x^2y^3z^4/11xy)^(1/2) = [(25x^2y^3z^4)/(11xy)]^(1/2)
= [(25/11) * x^(2-1) * y^(3-1) * z^(4-1)]^(1/2)
= (25/11)^(1/2) * x^(1) * y^(2) * z^(3/2)
= (5/11) * sqrt(5) * xy^2 * z^(3/2)

Thus, the simplified expression is 5/11 * sqrt(5) * xy^2 * z^(3/2), which matches with option B.

Simplify. Assume All Variables Represent Positive Real Numbers