Question

4√3√2^2 equals to
make sure that steps are clear

Answer 1

given=>

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$\sqrt[4]{ \sqrt[3]{2 {}^{2} } }$

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to find=>

$\sqrt[4]{ \sqrt[3]{2 {}^{2} } } = ..(1$

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solution=>

we know that

$= > \sqrt[4]{a} = a {}^{ \frac{1}{4} } \\ \\ = > \sqrt[3]{a} = a {}^{ \frac{1}{3} }$

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to equition (1 solve

$= \sqrt[4]{ \sqrt[3]{2 {}^{2} } } \\ \\ =( (2 {}^{2} ) {}^{ \frac{1}{3} } ) {}^{ \frac{1}{4} } \\ \\ = (2 {}^{2} ) {}^{ \frac{1}{3} \times \frac{1}{4} } \\ \\ = 2 {}^{2 \times \frac{1}{12 } } \\ \\ = 2 {}^{6} \\ \\ = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ \\ = 64ans$

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answer=64

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formula uses*=>

$= > (a {}^{m} ) {}^{n} = a {}^{m \times n}$

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I hope it helps you