Use properties of exponents to simplify the expression. Expre only. Assume that any variables in denominators are not equa 2) $\frac{56 x^{5} y^{4}}{7 x^{-2} y^{9}}$

Step 1 ：Simplify the numerical part of the fraction, i.e., 56/7, which equals 8.

Step 2 ：Use the property of exponents that says when you divide terms with the same base, you subtract the exponents.

Step 3 ：Subtract the exponent of x in the denominator from the exponent of x in the numerator, which gives us 5 - (-2) = 7.

Step 4 ：Subtract the exponent of y in the denominator from the exponent of y in the numerator, which gives us 4 - 9 = -5.

Step 5 ：The simplified expression is \(8x^{7}y^{-5}\).

Step 6 ：Rewrite the expression with negative exponents as positive exponents in the denominator, so the final simplified expression is \(\frac{8x^{7}}{y^{5}}\).

Step 7 ：Final Answer: \(\boxed{\frac{8x^{7}}{y^{5}}}\)