If x=(\frac{1}{2})^{-2} \div(\frac{2}{3})^{-3}, then what is the reciprocal of x ?

CTET 2 Math and Science 7 Jan 2022 Paper

Question : 35 of 150

Marks: +1, -0

x=(\;{1}/{2})^{-2} ÷(\;{2}/{3})^{-3}

, then what is the reciprocal of

x ?

Solution:

⇒ X=(1 \/ 2)^{-2} ÷(2 \/ 3)^{-3}

⇒ 1 \/ 1 \/ 4 ÷ 1 \/ 8 \/ 27

⇒ 4 ÷ 27 \/ 8

Its reciprocal

⇒ 1 \/ 4 ÷ 8 \/ 27

⇒ 1 \/ 4 × 27 \/ 8

⇒ 27 \/ 32

∴

The reciprocal of

{\x}

27 \/ 32

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