Solve (3×4)/(5×11×9)^y: Finding the Equivalent Expression

To simplify the given expression, we start with the original expression:

$\left(\frac{3\times4}{5\times11\times9}\right)^y$.

Using the property for powers of a fraction, we distribute the exponent $y$ to the numerator and the denominator:

$\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}$

First, apply the formula:

$\left(\frac{3\times4}{5\times11\times9}\right)^y = \frac{(3\times4)^y}{(5\times11\times9)^y}$.

Next, apply the power of a product property, $(ab)^c = a^c \times b^c$, to both the numerator and the denominator:

The numerator becomes $(3\times4)^y = 3^y \times 4^y$.

The denominator becomes $(5\times11\times9)^y = 5^y \times 11^y \times 9^y$.

Thus, the fully simplified expression is:

$\frac{3^y\times4^y}{5^y\times11^y\times9^y}$.

After comparing with the given options, this matches choice 1 and 2, so option 4 is the right one: A+B are correct