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