## surryyy one year ago Expand the number 360 into its corresponding exponential form. a. 6 x 60 b. 2^3 x 3^2 x 5 c. 6^2 x 10 d. 3^2 x 2^3 x 5

1. UsukiDoll

break this up using a prime table.

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3. UsukiDoll

starting with 360 = 10 x 36 break the 10 into primes and break 36 into primes 10 = 2 x 5 36 = 6 x 6 36 = 2 x 3 x 2 x 3 2 x 2 x 2 x 3 x 3 x 5

4. surryyy

5. UsukiDoll

oh no.. it's because 10 and 36 can be broken up into prime numbers

6. UsukiDoll

10 = 2 x 5 36 = 2 x 2 x 3 x 3 those two numbers combined (in primes) is 2 x 2 x 2 x 3 x 3 x 5

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8. UsukiDoll

2 x 2 x 2 is writing 2 three times , so we have 2^3 3 x 3 is writing 3 two times so we have 3^2

9. surryyy

that would be 360

10. surryyy

11. UsukiDoll

yeah ... so in exponential form with primes 2^3 x 3^2 x 5

12. surryyy

ok thank u guys so much

13. UsukiDoll

hey wait... d is also valid too? unless order matters from smallest prime number to biggest prime number so it's b if order matters.