Answer the hw question attached in image
Answers
Express each of the numbers as product of power of prime factors:-
1) 36
36= 2×2×3×3
= 2²×3²
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2) 675
675= 3×3×3×5×5
= 3³×5²
____________________________
3) 392
392= 2×2×2×7×7
= 2³×7²
____________________________
4) 864
864= 2×2×2×2×2×3×3×3
= 2⁵ × 3³
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5) 450
450= 2×3×3×5×5
= 2×3²×5²
_________________________
6) 1800
1800= 2×2×2×3×3×5×5
= 2³×3²×5²
Step-by-step explanation:
36 = 2 * 2 * 3 * 3 = 2² * 3²
675 = 3 * 3 * 3 * 5 * 5 = 3³ * 5²
392 = 2 * 2 * 2 * 7 * 7 = 2³ * 7²
864 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 = 2⁵ * 3³
450 = 2 * 3 * 3 * 5 * 5 = 2 * 3² * 5²
1800 = 2 * 2 * 2 * 3 * 3 * 5 * 5 = 2³ * 3² * 5²
Additional Information:-
Prime numbers - Those numbers which are divisible by only 1 and the number themselves are called prime numbers.
Example - 2, 3, 5, 7, 11 etc.
The logic used in this question is to express the given number as the product of powers of their prime.
- Firstly we have to express the given number as the product of primes.
- And then, we use the logic of laws of exponents.
