Answer
$x^{5}$
Work Step by Step
Using the laws of exponents, the given expression, $
x^6x^{-1}
,$ is equivalent to
\begin{array}{l}\require{cancel}
x^{6+(-1)}
\\\\=
x^{6-1}
\\\\=
x^{5}
.\end{array}
For more complicated problems, it is helpful to remember that you can flip the location of numbers with negative exponents. In other words, you can move numbers with a negative exponent that are in the numerator to the denominator, and you can move numbers with a negative exponent in the denominator to the numerator.
