(2/3)cube × [(1/2]cube+ (3/4)square]
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Step-by-step explanation:
•Let's calculate the expression step by step:
•1. Calculate (2/3)³:
(2/3)³ = (2³) / (3³) = 8 / 27
•2. Calculate (1/2)³:
(1/2)³ = 1/8
•3. Calculate (3/4)²:
(3/4)² = (3²) / (4²) = 9/16
•Now, let's substitute these values back into the expression:
•(2/3)³ * [(1/2)³ + (3/4)²] = (8/27) * [(1/8) + (9/16)]
•Now, add the fractions inside the brackets:
•(1/27) * [(1/8) + (9/16)]
•To add these fractions, find a common denominator, which is 16:
•(1/27) * [(2/16) + (9/16)]
•Now, add the fractions:
•(1/27) * (11/16)
•Multiply the fractions:
•(1 * 11) / (27 * 16) = 11/432
•So, the final result of the expression is 11/432.