Final Answer:
The simplified expression is 7x³y⁴.
Step-by-step explanation:
To simplify the expression (35x⁷y⁵)/(5x⁴y), we divide the numerical coefficients (35 by 5) and then subtract the exponents of the variables (subtract the exponent of x in the denominator from the exponent in the numerator and the exponent of y in the denominator from the exponent in the numerator).
(35x⁷y⁵)/(5x⁴y) = (7x^(7-4)y^(5-1))/1
Simplifying further:
(7x³y⁴)/1
So, the final simplified expression is 7x³y⁴, but we often write it simply as 7x³y⁴ because anything divided by 1 is itself.
In summary, the process of simplifying involves combining like terms by performing operations with numerical coefficients and adjusting the exponents of variables accordingly. In this case, dividing the coefficients and subtracting the exponents results in the simplified expression 7x³y⁴. This form is more concise and represents the original expression in its simplest form.