1. You have the following expression: <span>(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:
</span><span>(8r^-5)^-3 (</span>8^(1)(-3))(r^(-5)(-3<span> )) (8</span>^-3)(r^15) <span> 3. The negative exponent indicates that the base 8 must be in the denominator. Therefore, you have:
r</span>^15/8^3 r^15/512 <span> 4. The simplified form of (8r^-5)^-3 is: </span> r^15/512