Answer: The answer is 37
Step-by-step explanation:
Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1
Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1
Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1
Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1
Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1
Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1
Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4
Step 8: Invert and multiply. 25+1/1/8+1/1/4
Step 9: Invert and multiply. 25+8+1/1/4
Step 10: Invert and multiply. 25+8+4
Step 11: Simplify 25+8 to 33. So 33+4
Step 12: Simplify. So the answer is 37
