# How do you simplify #(7x^4y^3)/(5xy)*(2xy^7)/(21y^5)#?

See the entire simplification process below:

First, use these rules of exponents to multiply the numerators and denominators:

Next, let's factor the constants:

Now, we can use this rule for exponents to complete the simplification:

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To simplify the expression (7x^4y^3)/(5xy)*(2xy^7)/(21y^5), we can cancel out common factors in the numerator and denominator.

First, let's simplify the numerator: (7x^4y^3) * (2xy^7) = 14x^5y^10

Next, let's simplify the denominator: (5xy) * (21y^5) = 105xy^6

Now, we can simplify the entire expression by dividing the numerator by the denominator: (14x^5y^10) / (105xy^6) = (2x^4y^4) / (15)

Therefore, the simplified expression is (2x^4y^4) / (15).

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