The value of the expression is -1.92.
How the value of the expression was calculated.
Given
(2/5)² * 100 divide by 2/3 + 2⁴ divide (13 -5)
(2/5) to the 2nd exponent
(2/5)² = 4/25
Multiple by 100
= 4/25 * 100 = 400/25 = 16
divide by 2/3
16 * 3/2 = 24
Add 2⁴
24 + 2⁴ = 24 + 16
40
divide by 13
= 40/13 = 3.076
subtract 5
3.076 -5 = -1.92
Therefore, value of the expression is -1.92.