The value of x in the provided equation is 8 after applying the integer exponent property.
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
[tex]\rm \dfrac{6^{-3}6^{-1}}{6^4} = \dfrac{1}{6^x}[/tex]
[tex]\rm \dfrac{6^{-4}}{6^4} = \dfrac{1}{6^x}[/tex]
[tex]\rm \dfrac{{1}}{6^8} = \dfrac{1}{6^x}[/tex]
On comparing:
x = 8
Thus, the value of x in the provided equation is 8 after applying the integer exponent property.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ1