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Reduce this algebraic fraction. 36x^5y^8z^10/15x^5y^7z^2

1 Answer

2 votes

Answer:


(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2)) =
(12)/(5) yz^(8)

Explanation:

Given expression is:


(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2))

Let us divide the numberator and the denominator by the common factor 3
x^(5).


(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2)) =
(12y^(8)z^(10))/(5y^(7)z^(2))


= (12y^(7)(y)z^(2)(z^(8) ))/(5y^(7)z^(2))

Cancel out the common factor
y^(7) z^(2) on the numerator and the denominator, we get,


(36x^(5)y^(8)z^(10))/(15x^(5)y^(7)z^(2)) =
(12)/(5) yz^(8)


User Shing Ho Tan
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