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SSC CHSL 2023 PYQ — Question 13

SSC CHSL Tier II - 02 Nov 2023 - Shift 1 • Quantitative Aptitude • Q13

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If x = (32)2×(23)−4\left(\frac{3}{2}\right)^2\times\left(\frac{2}{3}\right)^{-4}, find the value of x-2.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. (23)12\left(\frac{2}{3}\right)^{12}.

Given that

If x = (32)2×(23)−4\left(\frac{3}{2}\right)^2\times\left(\frac{2}{3}\right)^{-4}, 

Calculation

⇒ x = (32)6\left(\frac{3}{2}\right)^6

Squaring both sides

⇒ x2 =  (32)12\left(\frac{3}{2}\right)^{12}

⇒ x-2 =  (23)12\left(\frac{2}{3}\right)^{12}