Answer: [tex]x^{-6}=\frac{1}{x^{6}}[/tex]
Step-by-step explanation:
There is a rule in mathematics related to negative exponents:
A number with a negative exponent is equal to the inverse of the number raised to that exponent, but positive.
To understand it better:
The exponent of a number, when positive, tells us how many times we should use that number in a multiplication.
Now, when the exponent is negative, the opposite operation to multiplication must be performed: division.
For example, if we have the following:
[tex]x^{-6}[/tex]
We have to write the inverse of [tex]x[/tex], which is the base, to the power of [tex]6[/tex]:
[tex]x^{-6}=\frac{1}{x^{6}}[/tex]
