ANSWER
The exponent of x is -45 and the exponent of y is 0.
EXPLANATION
We want to simplify:
[tex] \frac{ {x}^{8} { y}^{ - 26} }{ {x}^{14} {y}^{ - 5} \times {x}^{39} {y}^{ - 21} } [/tex]
Recall and use
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]= \frac{ {x}^{8} { y}^{ - 26} }{ {x}^{14 + 39} {y}^{ - 5 + - 21} } [/tex]
[tex]= \frac{ {x}^{8} { y}^{ - 26} }{ {x}^{53} {y}^{ - 26} } [/tex]
Also recall and apply,
[tex] \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} [/tex]
[tex]={x}^{8 - 53} { y}^{ - 26 - - 26} [/tex]
[tex]={x}^{ - 45} { y}^{ 0} [/tex]
The exponent of x is -45 and the exponent of y is 0.
Answer:
Answer: The exponent of x = -45
The exponent of y = -42
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