SAT 1000 problems - P3

Algebra Level pending

Simplify: ( 1 4 ) 1 2 ( 4 a b 1 ) 3 ( 0.1 ) 2 ( a 3 b 4 ) 1 2 (\dfrac{1}{4})^{-\frac{1}{2}}·\dfrac{(\sqrt{4ab^{-1}})^3}{(0.1)^{-2}(a^{3}b^{-4})^{\frac{1}{2}}} .

And find the value when a = 2019 , b = 625 a=2019,b=625 .


The answer is 4.

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