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Use the exponent rules to simplify `(a^2*a^-9)/(a^-3)`, leaving exponents as positive...

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studentaccount | Student, Grade 9 | (Level 1) eNoter

Posted September 30, 2012 at 1:31 PM via web

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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

Posted September 30, 2012 at 2:15 PM (Answer #1)

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

`(a^2*a^-9)/(a^-3)`

=> `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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