please solve this please
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Answer:
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Step-by-step explanation:
Hope this will help you
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Answer:
(3⁵ × 10⁵ × 25)/(5⁷ × 6⁵) = 1
Step-by-step explanation:
We must know that,
1. (a^m)/(a^n) = a^(m - n)
2. If a = b × c
a^m = (b × c)^m = (b^m) × (c^m)
3. (a^m) × (a^n) = a^(m + n)
4. a⁰ = 1
We are given,
= (3⁵ × 10⁵ × 25)/(5⁷ × 6⁵)
We know that,
6 = 2 × 3
10 = 2 × 5
25 = 5 × 5 = 5²
= (3⁵ × (2 × 5)⁵ × 5²)/(5⁷ × (2 × 3)⁵)
= (3⁵ × 2⁵ × 5⁵ × 5²)/(5⁷ × 2⁵ × 3⁵)
= (3⁵ × 2⁵ × 5⁷)/(5⁷ × 2⁵ × 3⁵)
= 2^(5 - 5) × 3^(5 - 5) × 5^(7 - 7)
= 2⁰ × 3⁰ × 5⁰
= 1 × 1 × 1
= 1
This might be a bit difficult to understand so I have also added a written image of the solution. Please do refer it.
Hope it helped and you understood it........All the best
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