Question

1. Express each of the following numbers as a product of powers of prime factors in the exponential form:
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Answer 1

Answer:

i. 3^4

ii. 7^3

iii. 5^5

iv. 11^3

Step-by-step explanation:

1.

i.

3 | 81

3 | 27

3 | 9

3 | 3

| 1

81 = 3×3×3×3

= 3^4

ii.

7 | 343

7 | 49

7 | 7

| 1

343 = 7×7×7

= 7^3

iii.

5 | 3125

5 | 625

5 | 125

5 | 25

5 | 5

| 1

3125 = 5×5×5×5×5

= 5^5

iv.

11 | 1331

11 | 121

11 | 11

| 1

1331 = 11×11×11

= 11^3