Find the value of (1/5)⁻² + (1/2)⁻³ + (1/4)⁻¹

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Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 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

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -