Question

Find \(\sqrt{4^{6x^{2}} 25^{y/2} 9 z^{4}}\).

• A. \(4^{3x^{2}} 5^{y} 3^{z^{4}}\)
• B. \(4^{3x^{2}} 5^{y/2} 9z^{2}\)
• C. \(4^{6x} 25^{y/4} 9z^{2}\)
• D. \(4^{3x^{2}} 5^{y/2} 3z^{2}\)

Hint:

\(\sqrt{a^{m}}=a^{m/2}\). For bases like \(25\) and \(9\), rewrite as powers of primes (\(5^2, 3^2\)) before halving the exponent.