Express each of the following as a product of powers of their prime factors in exponential form. Class 8
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Expert Answer
Express each of the following as a product of powers of their prime factors in exponential form. Class 8
Question 1.
Express each of the following as a product of powers of their prime factors in exponential form. Class 8
(i) 648
(ii) 405
(iii) 540
(iv) 3600
Solution:
(i) 648 = 2 × 2 × 2 × 3 × 3 × 3 × 3
= 23 × 34
(ii) 405 = 3 × 3 × 3 × 3 × 5
= 34 × 5
(iii) 540 = 3 × 3 × 3 × 2 × 2 × 5
= 33 × 22 × 5
(iv) 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5
= 24 × 32 × 52
