Question

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Answer 1

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Answer 2

Answer:

10 is the answer.

Step-by-step explanation:

$\\ \sf{} \sqrt{3 {}^{n} } = 27$

$\\ \sf{}3 {}^{n \times \frac{1}{2} } = 27$

$\\ \sf{}3 {}^{ \frac{n}{2} } = 3 {}^{3}$

$\\ \sf{} \frac{n}{2} = 3$

$\\ \sf{}n = 2 \times 3$

$\\ \sf{}n = 6$

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$\\ \sf{} = 5 \sqrt[n]{64}$

$\\ \sf{} = 5 \sqrt[6]{64}$

$\\ \sf{} = 5 \times 2$

$\\ \boxed{ \large \sf{} = 10}$