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Which of the following is the simplified form of 4sqrt37*4sqrt37*4sqrt37*4sqrt37*4sqrt37

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You have
\sqrt[4]{37} multiplied by itself for five times, therefore:
(
\sqrt[4]{37} )⁵

The index of the root can be seen as a fractional exponent, therefore:
= (37)⁵/⁴

Hence, the answer is: (37)⁵/⁴

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