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18x^4y^-7z/4x^9y^4z^-5

1 Answer

6 votes

Answer:

The simplified expression to the given expression is


(18x^4y^(-7)z)/(4x^9y^4z^(-5))=(9z^6)/(2x^5y^(11))

Explanation:

Given expression is
(18x^4y^(-7)z)/(4x^9y^4z^(-5))

To simpify the given expression :


(18x^4y^(-7)z)/(4x^9y^4z^(-5))


=(9x^4y^(-7)z)/(2x^9y^4z^(-5))


=(9x^4y^(-7)zx^(-9)y^(-4)z^5)/(2) ( using the property
a^(-m)=(1)/(a^m) )


=(9x^4.x^(-9)y^(-7)y^(-4)z.z^5)/(2)


=(9x^(4-9)y^(-7-4)z^(1+5))/(2) ( using the property
a^m.a^n=a^(m+n) )


=(9x^(-5)y^(-11)z^(6))/(2) ( using the property
a^(-m)=(1)/(a^m) )


=(9z^6)/(2x^5y^(11))

Therefore
(18x^4y^(-7)z)/(4x^9y^4z^(-5))=(9z^6)/(2x^5y^(11))

Therefore the simplified expression to the given expression is


(18x^4y^(-7)z)/(4x^9y^4z^(-5))=(9z^6)/(2x^5y^(11))

User Alex Van Rijs
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