americanexcellence
americanexcellence americanexcellence
  • 22-08-2021
  • Mathematics
contestada

400 written as a product of its prime factors is 2 x 2 x 2 x 2 x 5 x 5.
Write 800 as a product of its prime factors.

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jimthompson5910 jimthompson5910
  • 22-08-2021

Answer:  2 x 2 x 2 x 2 x 2 x 5 x 5

Explanation:

We start with the string 2 x 2 x 2 x 2 x 5 x 5

Then we tack on a "2 x" up front, or at the very left, so that we double the result. This is because the jump from 400 to 800 is "times 2".

So we go from 2 x 2 x 2 x 2 x 5 x 5 to 2 x 2 x 2 x 2 x 2 x 5 x 5

We can condense this into [tex]2^5*5^2[/tex]

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lucyharvey139 lucyharvey139
  • 22-08-2021
800/2
400/2
200/2
100/2
50/2
25/5
5/5

2x2x2x2x2x5x5
Simplify
2^5x5^2

Basically divide by the smallest prime number possible until you get to the number 1

Answer Link

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