Which expression shows the simplified form of (8r^-5)^-3

1. You have the following expression: (8r^-5)^-3

 2. Keepin on mind the exponents properties, you must multiply the exponent (-5) by the exponent (-3), and the exponent 1 by the exponent (-3),as below:

 (8r^-5)^-3
 (8^(1)(-3))(r^(-5)(-3 ))
 (8^-3)(r^15)

 3. The negative exponent indicates that the base 8 must be in the denominator. Therefore, you have:

 r^15/8^3
 r^15/512

 4. The simplified form of (8r^-5)^-3 is:

 r^15/512