Question

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

after simplifying the given expression, the exponent of x is ?
and the exponent of y is ?

Answer 1

Answer: The exponent of x = -45

The exponent of y = -42

Explanation:

Since, the exponent of a variable is the power of the variable.

Given expression is,

`(x^8y^(-26) )/(x^(14)y^(-5)) * x^(-39)y^(-21)`

`(x^8y^(-26) x^(-39)y^(-21) )/(x^(14)y^(-5))`

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

`x^(8-39-14)y^(-26-21+5)`
`(\text{ Because, } a^m* 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.