Question

plese solve this its urgent​

Answer 1

Step-by-step explanation:

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AB289

Answer 2

Solution

(1) (6² + 8²)^(1/2).

= (6*6 + 8*8)^(1/2)

= (36 + 64)^(1/2)

= (100)^(1/2)

= (10)^(2 * 1/2)

= 10¹

= 10. [Ans]

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(2) [ 5 * (8^1/3 + 27^1/3)³ ] ^(1/4)

= [ 5 * {2^(3*1/3) + 3^(3 * 1/3)³ ] ^(1/4)

= [ 5 * ( 2 + 3)³ ]^(1/4)

= [ 5 * (5)³ ]^(1/4)

= (5)^(4 * 1/4)

= 5¹

= 5. [Ans]

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(3) (17² - 8²)^1/2

= ( 17*17 - 8*8)^1/2

= (289 - 64)^1/2

= (225 )^1/2

= (15 * 15)^1/2

= (15)^(2* 1/2)

= 15¹

= 15. [Ans]

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(4) ( 1³ + 2³ + 3³)^(-5/2)

= ( 1 + 8 + 27)^(-5/2)

= (36)^(-5/2)

= 6^(2 * -5 /2)

= 6 ^(-5)

= (1/6)^5

= 1/6 * 1/6 * 1/6 *1/6 * 1/6 * 1/6

= 1/46,656. [Ans]

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