Simplify the given fraction by cancelling common factors: only. Assume that any variables in denominators are not 2) $\frac{56 x^{5} y^{4}}{7 x^{-2} y^{9}}$

Step 1 ：The given fraction is \(\frac{56 x^{5} y^{4}}{7 x^{-2} y^{9}}\).

Step 2 ：To simplify this fraction, we need to cancel out the common factors in the numerator and the denominator.

Step 3 ：The common factors are 7, \(x^{5}\), and \(y^{4}\).

Step 4 ：We can divide both the numerator and the denominator by these common factors.

Step 5 ：When we divide powers with the same base, we subtract the exponents.

Step 6 ：So, \(x^{5} / x^{-2}\) becomes \(x^{5 - (-2)} = x^{7}\) and \(y^{4} / y^{9}\) becomes \(y^{4 - 9} = y^{-5}\).

Step 7 ：The simplified form of the given fraction is \(\boxed{\frac{8 x^{7}}{y^{5}}}\).