Question

Please answer these 3 questions in the attachments. [No spam please]

Answer 1

Answer:

1).49/6

2).5,056

3).-18

Step-by-step explanation:

1).  a num. multiply by (-7)^-1 is  ( x)   _ _ _ _ _ (suppose)

   (-7)^ -1 ×  X = (6/7)^ -1

   -1/7 ×  X = 7/6      _ _ _ _ _ _(if power is negative the num. is reciprocal)

   -x/7 = 7/6

   -x = 7/6 × 7

   x = 49/6

2). { (2^5)^3  × 7^3} / {8^3  × 7}

    { 8^5  ×  7^3} / {8^3  × 7}

(in the formula num. are or divide the another num. so, substract the power)

(8^5 ÷ 8^3) (7^3 ÷ 7)

8^(5-3)  ×  7^(3-1)

 8^2  ×  7^2

 64  × 79

 5,056

3). (5^-1  - 4^-1)^-1 + (2^-1 - 3^-1)^-1

   (1/5 - 1/4)^-1  + ( 1/2 - 1/3)^-1

   take LCM

    (4/20 - 5/20)^-1 + (3/6 - 2/6)^-1

   (-1/20)^-1 + (3/6)^-1

   -20/1 + 6/3

     take LCM

  - 60/3+ 6/3

  -54/3

  -18

   

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