Simplify the expression.
13[6^2/(5^2 - 4^2)+9]

The simplified term for the given expression is 169.

Step-by-step explanation:

Solving within the parenthesis, given the expression:

13{6^2/(5^2-4^2)+9}

13{36/(25-16)+9}

13{36/9+9}

13(9+4)

13(13)

Therefore, the simplified term in terms of the expression, 13(6^2/5^2-4^2)+9), is 169.

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Step-by-step explanation:

1.1     4 = 22

(4)2 = (22)2 = 24

        (62)      

 13 • (————————— +  9)

       (52 - 24)    

3.1     6 = 2•3

(6)2 = (2•3)2 = 22 • 3    (22•32)    

 13 • (——————— +  9)

          9                 (22•32)

Simplify   ———————

              9    

  4.1      Canceling out  32 as it appears on both sides of the fraction line

13 • (4 +  9) gives you 169