Let t = 2/5. Find the value of the expression t^3 + (3/5)^3 + (9/5)t.

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Let t = 2/5. We need to evaluate: t^3 + (3/5)^3 + (9/5)t.

Step 1: Calculate t^3:
t^3 = (2/5)^3 = 8/125

Step 2: Calculate (3/5)^3:
(3/5)^3 = 27/125

Step 3: Calculate (9/5)t:
(9/5)t = (9/5) * (2/5) = 18/25

Step 4: Express 18/25 with denominator 125:
18/25 = (18*5)/(25*5) = 90/125

Step 5: Add all terms:
8/125 + 27/125 + 90/125 = (8 + 27 + 90)/125 = 125/125 = 1

So, the value of the expression is 1.

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