To simplify the expression, we can apply the exponent rule for division, which states that when dividing two numbers with the same base, we subtract the exponents:
x^-6/x^4 = x^(-6-4)
Now, subtracting the exponents, we get:
x^(-10)
Therefore, x^-6/x^4 simplifies to 1/x^10.
x^-6/x^4
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