Compare the following and put the correct sign-i- 323 - 323ii- 8412 - 24iii- 31-39 - 811-42

The correct option is C >(i) (3^2)^3 =(3)^6,3^2^3=(3)^8 ∵ 3^6 lt; 3^8 ⇒ (3^2)^3 lt; 3^2^3 (ii) (8^4)^12=8^2=64,2^4=16 ∵ 64 gt; 1 ...

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Indices in Rational Form

Compare the f...

Question

Compare the following and put the correct sign.
i. $(3^{2})^{3} □ 3^{2^{3}}$
ii. $(8^{4})^{\frac{1}{2}} □ 2^{4}$
iii. $(3^{1 / 3})^{9} □ (81^{1 / 4})^{2}$

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Solution

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Similar questions

(1, - 2, 2)

\frac{x}{1} = \frac{y}{- 2} = \frac{z}{2}

8^{3} = 512

32^{3 / 5} = 8

7^{- 2} = \frac{1}{49}

10^{- 2} = 0.01

\frac{(8 \times {(4^{2})}^{4} \times 3^{3} \times 27^{2}) + (9 \times 6^{3} \times 4^{7} \times {(3^{2})}^{3})}{(24 \times {(6^{2})}^{4} \times {(2^{4})}^{2}) + (144 \times {(2^{3})}^{4} \times {(9^{2})}^{2} \times 4^{2})}

{[{\{{(\frac{- 1}{4})}^{2}\}}^{- 2}]}^{- 1}

{\{{(\frac{- 2}{3})}^{2}\}}^{3}

{(\frac{- 3}{2})}^{3} \div {(\frac{- 3}{2})}^{6}

{(\frac{- 2}{3})}^{7} \div {(\frac{- 2}{3})}^{4}

[3^{2^{3}} - (3^{2})^{3}]

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