Math, asked by Anonymous, 5 months ago

please solve this please​

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Answers

Answered by dakshsingh24
1

Answer:

1

Step-by-step explanation:

Hope this will help you

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Answered by joelpaulabraham
1

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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