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Algebra/Simplification of Algebraic Expression

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

Answer
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

Expertise

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

Experience

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

Publications
Documents at Boeing in assistance on the manufacturiing floor.

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

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Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.

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