Math, asked by subhranildutta68, 9 months ago

please slove is question ​

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Answered by spiderman2019
3

Answer:

Step-by-step explanation:

10² *  (- 5)³ * 9⁰ / (-1)⁵¹ * (-2)² * (5)⁴

By law of exponents,  a⁰ = 1;

=> (2 * 5)² * (-1 * 5)³ * 1 / (-1)⁵¹ * (-1 * 2)² * 5⁴

=> 2² *  5² * (-1)³ * 5³ /  (-1)⁵¹ * (-1)² * 2² * 5⁴

=> 2² *  5²⁺³ * (-1)³ / (-1)⁵¹⁺² * 2² * 5⁴   (∵ xᵃ  * xᵇ = xᵃ⁺ᵇ )

=> 2² * 5⁵ * (-1)³ / (-1)⁵³ * 2² * 5⁴

=> 2²⁻² * 5⁵⁻⁴ / (-1)⁵³⁻³   (∵ xᵃ / xᵇ = xᵃ⁻ᵇ)

=> 2⁰ * 5¹ / (-1)⁵⁰

=> 5/(-1)⁵⁰

// we know that if -1 is raised to power of even number the result is +1

=> 5/1

=> 5.

Answered by HorridAshu
2

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Step-by-step explanation:

10² *  (- 5)³ * 9⁰ / (-1)⁵¹ * (-2)² * (5)⁴

By law of exponents,  a⁰ = 1;

=> (2 * 5)² * (-1 * 5)³ * 1 / (-1)⁵¹ * (-1 * 2)² * 5⁴

=> 2² *  5² * (-1)³ * 5³ /  (-1)⁵¹ * (-1)² * 2² * 5⁴

=> 2² *  5²⁺³ * (-1)³ / (-1)⁵¹⁺² * 2² * 5⁴   (∵ xᵃ  * xᵇ = xᵃ⁺ᵇ )

=> 2² * 5⁵ * (-1)³ / (-1)⁵³ * 2² * 5⁴

=> 2²⁻² * 5⁵⁻⁴ / (-1)⁵³⁻³   (∵ xᵃ / xᵇ = xᵃ⁻ᵇ)

=> 2⁰ * 5¹ / (-1)⁵⁰

=> 5/(-1)⁵⁰

// we know that if -1 is raised to power of even number the result is +1

=> 5/1

=> 5.

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