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Ncert exemplar solutions
Grade 9 
Mathematics
Mathematics Exemplar Problems - class 9
Number Systems
Number Systems - Exercise 1.1
Question 8
Mathematics
Mathematics Exemplar Problems - class 9
Number Systems
Number Systems - Exercise 1.1
Question 8
Number Systems | Number Systems - Exercise 1.1
Question 8
\sqrt[4]{\sqrt[3]{2^2}} is equal to _______
\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.
Question 8
\sqrt[4]{\sqrt[3]{2^2}} is equal to _______
\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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