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Express the following numbers as a product of powers of prime factors (1) 16000

Posted by Krish Upadhyay 5 years, 11 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

16,000 = 16 × 1000 = (2 × 2 × 2 × 2) ×1000 = 24 ×103 (as 16 = 2 × 2 × 2 × 2)

= (2 × 2 × 2 × 2) × (2 × 2 × 2 × 5 × 5 × 5) = 2⁴ × 2³ × 5³

(Since 1000 = 2 × 2 × 2 × 5 × 5 × 5)

= (2 × 2 × 2 × 2 × 2 × 2 × 2 ) × (5 × 5 × 5)

or, 16,000 = 2⁷ × 5³

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