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Not sure about what exactly is being asked, but if I'm interpreting correctly:

If you are to divide a^x by a^y (that is, a raised to the x power and a raised to the y power, respectively)

(a^x) / (a^y) = a^(x-y)

If the numbers are both of the same base, from the exponent in the numerator subtract the exponent in the base.

Ex)

(3^10) / (3^8) = 3^(10-8) = 3^2 = 9

To verify, check that 59049 / 6561 = 9.

Remember: negative exponents are positive exponents on the other side of the division sign. To return to the example above, assume we switched the numerator and denominator.

Ex) (3^8)/(3^10) = 3^(8-10) = 3^(-2) = 1/(3^2)

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14y ago

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