Express 9000 as a product of powers of its prime factors
Answers
Answered by
4
Answer:
2^3 × 3^2 × 5^3
Step-by-step explanation:
9000 = 2 × 4500 = 2 × 2 × 2250 = 2 × 2 × 2 × 1125 = 2 × 2 × 2 × 3 × 375 = 2 × 2 × 2 × 3 × 3 × 125 = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 = 2^3 × 3^2 × 5^3
Answered by
9
Hey NickSaxena !
Answer:
2³ × 3² × 5³
Step-by-step explanation:
Procedure :
9000 = 9 × 1000
= 3² × 10³
= 3² × (2 × 5)³
= 3² × 2³ × 5³
Hence 9000 = 2³ × 3² × 5³.
Thanks !
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