Final answer:
To simplify the given expression, start by simplifying each part separately. Simplify (4t²)/(121z⁴) to (2t)/(11z²). Then, simplify (2t)/(11z²) raised to the power of (1)/ (2) to (√(2t))/(√(11z²)).
Step-by-step explanation:
To simplify the expression ((4t²)/(121z⁴)) ^ ((1)/ (2)), we can start by simplifying each part separately.
First, simplify (4t²)/(121z⁴). Since 4 is a perfect square and 121 is a perfect square, we can take the square root of both 4 and 121 to simplify the expression to (2t)/(11z²).
Next, simplify (2t)/(11z²) raised to the power of (1)/ (2). Since raising to the power of (1)/ (2) is the same as taking the square root, we can simplify the expression to (√(2t))/(√(11z²)).