Question

Please Solve this with explanation:​

Answer 1

Answer:

sure send full photo it's not clear

Answer 2

Question :-

$\sf\dfrac{(64)^\frac{-1}{6} \times (216)^\frac{-1}{3}\times (81)^\frac{-1}{4}}{(512)^\frac{-1}{3} \times (16)^\frac{-1}{4} \times (9)^\frac{-1}{2} }$

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Answer :-

$\implies\sf\dfrac{(64)^\frac{-1}{6} \times (216)^\frac{-1}{3}\times (81)^\frac{-1}{4}}{(512)^\frac{-1}{3} \times (16)^\frac{-1}{4} \times (9)^\frac{-1}{2} }$

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$\implies\sf\dfrac{(512)^{ \frac{1}{3} } \times {(9)}^{ \frac{1}{2} } }{( {16})^{ \frac{1}{4} } \times ( {64})^{ \frac{1}{6}} \times ( {216})^{ \frac{1}{3} } \times ( {81})^{ \frac{1}{4} } }$

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$\implies\sf\dfrac{(8^3)^\frac{1}{3} \times (3^2)^\frac{1}{2} }{(2^4)^\frac{1}{4} \times (2^6)^\frac{1}{6} \times (6^3)^\frac{1}{3} \times (3^4)^\frac{1}{4}}$

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$\implies\sf\dfrac{8 \times 3}{2 \times 2 \times 6 \times 3}$

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$\implies\sf\dfrac{2^3 \times 3}{2^2 \times 2 \times 3 \times 3}$

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$\implies\sf \dfrac{\cancel{2^3} \times 3}{\cancel{2^3} \times 3^3}$

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$\implies\sf\dfrac{3}{3^3}$

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$\implies\sf3^{1-3}$

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$\implies\sf 3^{-2}$

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$\implies\sf\dfrac{1}{3^2}$

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$\implies\boxed{\sf\dfrac{1}{9}}$