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kotykmax [81]
3 years ago
5

Express 900 as a product of its prime factors im index form ​

Mathematics
2 answers:
ANTONII [103]3 years ago
3 0

Step-by-step explanation: Divide by successive primes:

900 / 2 = 450

450 / 2 = 225

225 / 3 = 75

75 / 3 = 25

25 / 5 = 5

5 / 5 = 1

Write down the prime factors:

2 × 2 × 3 × 3 × 5 × 5

Write them in index form:

2² × 3² × 5²

ki77a [65]3 years ago
3 0

Answer:

2∧2 . 3∧2 . 5∧2

Step-by-step explanation:

First of all, it is important to divide the number by the minimum possible divisors until getting 1 as a result

900  ÷ 2 = 450

450  ÷  2 = 225

225  ÷  3 = 75

75  ÷   3 = 25

25  ÷  5 = 5

5 ÷ 5 = 1

Then the prime factors of 900 are 2 . 2 . 3 . 3 . 5 . 5 or 2∧2 . 3∧2 . 5∧2 because 2∧2 = 4 ; 3∧2 = 9 ; 5∧2 = 25 , and 4 . 9 . 25 = 900

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