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Simplify completely the quantity:

14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y to the 2nd power all over 7 times x to the third power times y

The equation and answer choices are attached.

Simplify completely the quantity: 14 times x to the 5th power times y to the 4th power-example-1

2 Answers

2 votes
perhaps it is A but I am not that sure
User Elcaro
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8.3k points
0 votes
Answer:
2x²y³ + 3y which is the third option

Step-by-step explanation:
Before we begin, remember the following:
xᵃ * xᵇ = x⁺ᵇ

(x^a)/(x^b) = x^(a-b)

The given expression is:

(14x^5y^4+21x^3y^2)/(7x^3y)

1- We can take 7x³y as a common factor from both terms in the numerator.
Following second rule mentioned above, this will give us:

(7x^3y(2x^2y^3+3y))/(7x^3y)

2- Now, we can note that 7x³y can be cancelled from both the numerator and the denominator.
Doing this, we will end up with the following:
2x²y³ + 3y

Hope this helps :)
User Inakiabt
by
8.6k points

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