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Popular >

simplify (sqrt(\sqrt{3)})^4

Solution

simplify

(3)^{4}

Solution

3

Solution steps

(3)^{4}

Rewrite

4

as

2 \cdot 2

= (3)^{2 \cdot 2}

Apply exponent rule:

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

(3)^{2 \cdot 2} = ((3)^{2})^{2}

= ((3)^{2})^{2}

Apply exponent rule:

(3)^{2} = 3

= (3)^{2}

Apply exponent rule:

(3)^{2} = 3

= 3

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Frequently Asked Questions (FAQ)

What is (sqrt(\sqrt{3)})^4 ?
The solution to (sqrt(\sqrt{3)})^4 is 3