Respuesta :
The correct simplification of the given fraction is x¹⁰z⁷. The correct option is the first option- x^10z^7
Simplification of fractions
From the question, we are to determine the correct simplification of the given expression.
The given expression is
[tex]\frac{x^{12} \times z^{11} }{x^{2} \times z^{4} }[/tex]
Simplifying, we get
[tex]\frac{x^{12} }{x^{2} } \times \frac{z^{11} }{z^{4} }[/tex]
By applying law of indices, we get
[tex]x^{12-2} \times z^{11-4}[/tex]
[tex]x^{10} \times z^{7}[/tex]
[tex]x^{10} z^{7}[/tex]
Hence, the correct simplification of the given fraction is x¹⁰z⁷. The correct option is the first option- x^10z^7
Learn more on Simplification of fractions here: https://brainly.com/question/12092813
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