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Masja [62]
3 years ago
7

Factor 6^3 * 28^3 into the product of its prime factors by first factoring 6 and 28 completely. Enter only the fully

Mathematics
2 answers:
blagie [28]3 years ago
6 0

\\ \rm\longmapsto 6^3\times 28^3

\\ \rm\longmapsto (2\times 3)^3\times (7\times 2\times 2)^3

\\ \rm\longmapsto 2^3\times 3^3\times 7^3\times 2^3\times 2^3

\\ \rm\longmapsto 2^{3+3+3}3^37^3

\\ \rm\longmapsto 2^93^37^3

Greeley [361]3 years ago
6 0

Answer:

  • 2⁹*3³*7³

Step-by-step explanation:

  • 6³*28³ =
  • (2*3)³*(2*2*7)³ =
  • 2³*3³*2³*2³*7³ =
  • 2⁹*3³*7³
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