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Simplify (6^5 over 7^3 )^2

User Mcsim
by
8.9k points

2 Answers

4 votes

Answer:

fraction: 60466176 / 117649

decimal: 513.954015759

Explanation:

User Tallamjr
by
8.6k points
2 votes

Answer:

60,466,176/117,649 or 513.9540157587399807903169597701637922974270924529745259203 decimal

Explanation:

Simplify the following:

(6^5/7^3)^2

7^3 = 7×7^2:

(6^5/(7×7^2))^2

7^2 = 49:

(6^5/(7×49))^2

7×49 = 343:

(6^5/343)^2

6^5 = 6×6^4 = 6 (6^2)^2:

((6 (6^2)^2)/343)^2

6^2 = 36:

((6×36^2)/343)^2

| | 3 | 6

× | | 3 | 6

| 2 | 1 | 6

1 | 0 | 8 | 0

1 | 2 | 9 | 6:

((6×1296)/343)^2

6×1296 = 7776:

(7776/343)^2

(7776/343)^2 = 7776^2/343^2:

7776^2/343^2

| | | | 7 | 7 | 7 | 6

× | | | | 7 | 7 | 7 | 6

| | | 4 | 6 | 6 | 5 | 6

| | 5 | 4 | 4 | 3 | 2 | 0

| 5 | 4 | 4 | 3 | 2 | 0 | 0

5 | 4 | 4 | 3 | 2 | 0 | 0 | 0

6 | 0 | 4 | 6 | 6 | 1 | 7 | 6:

60466176/343^2

| | | 3 | 4 | 3

× | | | 3 | 4 | 3

| | 1 | 0 | 2 | 9

| 1 | 3 | 7 | 2 | 0

1 | 0 | 2 | 9 | 0 | 0

1 | 1 | 7 | 6 | 4 | 9:

Answer: 60466176/117649

User Northtree
by
8.2k points

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