EXPRESS THE GIVEN NUMBER IN EXPONENTIAL FORM WORKSHEET

Express the following as the product of prime factors in index form:

1)  56

2)  240

3)  504

4)  735

5)  297

6)  221

7)  360

8)  952

Solution

Answer Key

1)  23 × 7

2)  24 × 3 × 5

3)   23 × 3² × 7

4)  3 × 5 × 7²

5)  33 × 11

6)  13 × 17

7)  23 × 3² × 5

8)  23 × 7 × 17

Write the prime factorization of the number :

1)  26

2)  58

3)  63

4)  85

5)  120

6)  160

7)  154

8)  195

9)  225

10)  210

Solution

Answer Key

1)  × 13

2)  × 29

3)  3× 7

4)  5 × 17

5)  2³ x 3 x 5

6)  2x 5

7)  2 x 7 x 11

8)   3 x 5 x 13

9)  5x 32

10)  2 x 3 x 5 x 7

Write each number in index form :

1)  2 × 2 × 3 × 3 x 3

2)  2 × 5 × 5

3)  2 × 3 × 3 × 3 × 5

4)  5 × 5 × 7 × 7

5) 2 × 2 × 5 × 5 × 5 × 7

6)  3 × 3 × 7 × 7 × 11 × 11

7)  2 × 2 × 2 × 3 × 3 × 3 × 3

8)  5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7

Solution

Answer Key

1)  22 × 33

2)  21 × 52.

3)  21 × 3× 51

4)  52 × 72

5)  22 × 53 × 71

6)  32 × 72 × 112

7)  23 × 34

8)  56 × 73

Write the following in exponent form :

1)  25

2) 36

3) 125

4)  343

Solution

Answer Key

1)  52

2)  62

3) 53

4)  73

Write the following in exponent form with 3 as a base :

1)  3

2)  27

3)  81

4)  729

Solution

Answer Key

1)  31

2)  33

3)  34 

4)  36

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