Question

X^8y-26/x^14y^-5*x^-39y^-21

Answer 1

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,

$\frac{x^8y^{-26} }{x^{14}y^{-5}} \times x^{-39}y^{-21}$

$\frac{x^8y^{-26} x^{-39}y^{-21} }{x^{14}y^{-5}}$

$x^8y^{-26} x^{-39}y^{-21} x^{-14}y^{5}$   $(\text{Because, }\frac{1}{a^m} = a^{-m})$

$x^{8-39-14}y^{-26-21+5}$    $(\text{ Because, } a^m\times a^n = a^{m+n})$

$x^{-45}y^{-42}$

Since the power of x = -45

⇒ The exponent of x = -45

Similarly, the exponent of y = -42.