How to solve (49x^2)^3/2 ÷ (9y^4)^3/2?
Considering the question to be:
Fractional exponent: the denominator is the value of the root, and the numerator is an exponent of the value (it goes inside the root).
Thus, you now have
Exponent of exponent: multiply them.
Change back to fractional exponents for the variable, so you can multiply:
(by the way, use a calculator for the square roots)