Answer: The exponent of x = -45
The exponent of y = -42
Step-by-step explanation:
Since, the exponent of a variable is the power of the variable.
Given expression is,
[tex]\frac{x^8y^{-26} }{x^{14}y^{-5}} \times x^{-39}y^{-21}[/tex]
[tex]\frac{x^8y^{-26} x^{-39}y^{-21} }{x^{14}y^{-5}} [/tex]
[tex]x^8y^{-26} x^{-39}y^{-21} x^{-14}y^{5} [/tex] [tex](\text{Because, }\frac{1}{a^m} = a^{-m})[/tex]
[tex]x^{8-39-14}y^{-26-21+5}[/tex] [tex](\text{ Because, } a^m\times a^n = a^{m+n})[/tex]
[tex]x^{-45}y^{-42}[/tex]
Since the power of x = -45
⇒ The exponent of x = -45
Similarly, the exponent of y = -42.
