81^(1/4) × 9^(3/2) × 27^(-4/3) Solution

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Q. Find the value of \( 81^{\frac{1}{4}} \times 9^{\frac{3}{2}} \times 27^{-\frac{4}{3}} \)

✏️ Solution

\( = (3^4)^{\frac{1}{4}} \times (3^2)^{\frac{3}{2}} \times (3^3)^{-\frac{4}{3}} \)

\( = 3^{1} \times 3^{3} \times 3^{-4} \)

\( = 3^{1+3-4} \)

\( = 3^0 \)

\( = 1 \)

Final Answer: \( \boxed{1} \)

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