Question
Fully simplify using only positive exponents.
\[
\frac{5 x^{7} y^{5}}{10 x y^{3}}
\]
Answer Attempt 1 out of 2
Final Answer: \(\boxed{\frac{x^{6} y^{2}}{2}}\)
Step 1 :Given the expression \(\frac{5 x^{7} y^{5}}{10 x y^{3}}\)
Step 2 :We can simplify this expression by cancelling out the common terms in the numerator and the denominator. The common terms are 5, x and y.
Step 3 :The exponents of x and y in the numerator are greater than the exponents in the denominator. So, we subtract the exponents in the denominator from the exponents in the numerator.
Step 4 :This gives us the simplified expression \(\frac{x^{6} y^{2}}{2}\)
Step 5 :Final Answer: \(\boxed{\frac{x^{6} y^{2}}{2}}\)