Verified Answer :

\(\frac{8y^{7}}{4y^{5}} = 2y^{2}\)

The resultant of the division of two algebraic expression 8y⁷ ÷ 4y⁵ is 2y², which is equal to the quotient of these expressions.

What is a ratio of two numbers?

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

Let a number a is divided by number b. Then the ratio of these two number will be,

\(r=\dfrac{a}{b}\)

Here, (a, b) are the real numbers.

The division of two is given as,

\(8y^7 \div4y^5\)

Let the resultant of this expression is n. thus,

\(n=\dfrac{8y^7 }{4y^5}\)

If the base is the same, then the power is subtracted in the division of numbers,

\(n=\dfrac{8y^{7-5} }{4}\ =2y^2\)

Thus, the resultant of the division of two algebraic expression 8y⁷ ÷ 4y⁵ is 2y², which is equal to the quotient of these expressions.

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