When we divide powers with the same base, we subtract the exponents. So, for x^(-2) divided by x^(-7), we have:
x^(-2) / x^(-7) = x^(-2 - (-7))
Simplifying the expression inside the parentheses:
x^(-2 - (-7)) = x^(-2 + 7)
Combining the exponents:
x^(-2 + 7) = x^5
Therefore, x^(-2) / x^(-7) simplifies to x^5.
x^-2/x^-7
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