# Factor 6^3 * 28^3 into the product of its prime factors by first factoring 6 and 28 completely. Enter only the fully factored form as your answer.

2 answers

###### Question:

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

factored form as your answer.

factored form as your answer.

## Answers

[tex]\\ \rm\longmapsto 6^3\times 28^3[/tex][tex]\\ \rm\longmapsto (2\times 3)^3\times (7\times 2\times 2)^3[/tex][tex]\\ \rm\longmapsto 2^3\times 3^3\times 7^3\times 2^3\times 2^3[/tex][tex]\\ \rm\longmapsto 2^{3+3+3}3^37^3[/tex][tex]\\ \rm\longmapsto 2^93^37^3[/tex]

Answer:2⁹*3³*7³Step-by-step explanation:6³*28³ = (2*3)³*(2*2*7)³ = 2³*3³*2³*2³*7³ = 2⁹*3³*7³

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