What is (sqrt(3)-1)^4(sqrt(3)+1)^4 ?

The solution to (sqrt(3)-1)^4(sqrt(3)+1)^4 is 16

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simplify (sqrt(3)-1)^4(sqrt(3)+1)^4

simplify

(3 - 1)^{4} (3 + 1)^{4}

16

Solution steps

(3 - 1)^{4} (3 + 1)^{4}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

(3 - 1)^{4} (1 + 3)^{4} = ((3 - 1) (1 + 3))^{4}

= ((3 - 1) (1 + 3))^{4}

(3 - 1) (3 + 1) = 2

= 2^{4}

2^{4} = 16

= 16

(5 a^{2} b^{3}) (3 ab)

2300 e^{- 0.01 (5)}

What is (sqrt(3)-1)^4(sqrt(3)+1)^4 ?
The solution to (sqrt(3)-1)^4(sqrt(3)+1)^4 is 16