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Popular >

simplify (2^{2^k})^{1/(2^k)}

Solution

simplify

(2^{2^{k}})^{\frac{1}{2 ^{k}}}

Solution

2

Solution steps

(2^{2^{k}})^{\frac{1}{2 ^{k}}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{2^{k} \cdot \frac{1}{2 ^{k}}}

2^{k} \cdot \frac{1}{2 ^{k}} = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is (2^{2^k})^{1/(2^k)} ?
The solution to (2^{2^k})^{1/(2^k)} is 2