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Number Systems | Number Systems - Exercise 1.1

Question 8

\sqrt[4]{\sqrt[3]{2^2}} is equal to _______

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\sqrt[4]{\sqrt[3]{2^{2}}}=\sqrt[4]{\left(2^{2}\right)^{\frac{1}{3}}}=\left(2^{\frac{2}{3}}\right)^{\frac{1}{4}}=2^{\frac{2}{3} \cdot \frac{1}{4}}=2^{\frac{1}{6}}

Hence, (C) is the correct answer.

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subject-cta

Question 8

\sqrt[4]{\sqrt[3]{2^2}} is equal to _______

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

\sqrt[4]{\sqrt[3]{2^{2}}}=\sqrt[4]{\left(2^{2}\right)^{\frac{1}{3}}}=\left(2^{\frac{2}{3}}\right)^{\frac{1}{4}}=2^{\frac{2}{3} \cdot \frac{1}{4}}=2^{\frac{1}{6}}

Hence, (C) is the correct answer.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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