What is the simplified form of the expression k^3(k^7/5)^-5

Step 1. Use the negative power rule: 



Step 2. Use Division Distributive Property: 



Step 3. Use Power Rule: 



Step 4. Simplify  to 



Step 5. Invert and multiply 



Step 6. Simplify



Step 7. Use Quotient Rule: 
 


Step 8. Simplify 3 - 35 to -32 



Step 9. Use Negative Power Rule: 



Step 10. Simplify



Done!