Simplify: [2/3]³ × [2/3]⁻² [[1/2]⁻²]² × 1/24

The correct answer is: Simplifying the given equation , we get the answer 0.44 or 4/9.

Step-by-step solution:-
[2/3]³ × [2/3]⁻² [[1/2]⁻²]² × 1/24
= [2/3]³ × [3/2]² [[2/1]²]² × 1/24 ….......................................... (b^-n = 1 / bⁿ)
= [2³ / 3³] × [3² / 2²] × [2/1]⁴ × 1/24 …................................. [aⁿ/bⁿ = (a/b)ⁿ]
= 8/27 × 9/4 × 16 × 1/24
= 4/9
= 0.44
Final Answer:-
∴ Simplifying the given equation , we get the answer 0.44 or 4/9.