Use the exponent rules to simplify `(a^2*a^-9)/(a^-3)`, leaving exponents as positive values, and fractions in lowest terms.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The expression `(a^2*a^-9)/(a^-3)` has to be simplified.


=> `a^(2 - 9)/a^-3`

=> `a^(-7+3)`

=> `a^-4`

=> `1/a^4`

The expression `(a^2*a^-9)/(a^-3) = 1/a^4`

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