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Algebra/Simplification of Algebraic Expression


Simplify the following expression:
(2^999 x 3^1000){[(2^50)^20]x[(3^333)^3]}

Showing this, (2^999 x 3^1000){[(2^50)^20]x[(3^333)^3]},
the 1st thing to do is simplify the denominator.

It is known that (2^50)^20 is the same as 2^(50*20) = 2^1000.

It is known the (3^333)^3 = 3^(333*3) = 3^999.

Our original problem is then (2^999 x 3^1000)(2^1000 x 3^999).

This can be rewritten as (2^999/2^1000)*(3^1000/3^999).

That can then be rewritten as [2^(999-1000)]*[3^(1000-999)].

Again we can rewrite it as [2^-1][3^1)].

My final answer is then (1/2)3 = 3/2.


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Scott A Wilson


Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.


I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Documents at Boeing in assistance on the manufacturiing floor.

MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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