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# Algebra/Simplification of Algebraic Expression

Question
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.

Algebra

Volunteer

#### 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.

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

Awards and Honors
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.