lamarriyad1 lamarriyad1
  • 17-08-2020
  • Mathematics
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5^3 x 2^5 x 10^2 as a product of prime

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sqdancefan
sqdancefan sqdancefan
  • 18-08-2020

Answer:

  2^7 × 5^5

Step-by-step explanation:

10 = 2×5, so your product is ...

  5^3 × 2^5 × (2×5)^2

  = 5^3 × 2^5 ×2^2 ×5^2

  = 2^7 × 5^5

_____

If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.

  5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5

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