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Simplify a) and b). Round your answer to c) properly to four decimal places. Use the ^...

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Mikayla360 | eNotes Newbie

Posted October 6, 2013 at 5:35 PM via web

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Simplify a) and b). Round your answer to c) properly to four decimal places. Use the ^ symbol to indicate exponents where necessary 

a)(t^6)^(1/2) 
b)(n^0.5)^(8) 
c)o.65^(-1/2)

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aruv | High School Teacher | (Level 2) Valedictorian

Posted October 6, 2013 at 5:47 PM (Answer #1)

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a. `(t^6)^(1/2)=t^(6xx1/2)=t^(3)`

Since

`(x^m)^n=x^(mxxn)=x^(mn)`

b. `(n^0.5)^8=n^(0.5xx8)=n^4`

`` c.   `0.65^(-1/2)=1/(.65^(1/2))`

`=1/.806225774`

`=1.240347`

`approx1.2403`

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted October 6, 2013 at 6:52 PM (Answer #2)

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Simplify.

a)  `(t^6)^(1/2)`

Raising a power to anoher power, multiply the powers together.

`t^(6*(1/2))`

The solution for a is `t^3.`

b)  `(n^0.5)^8`

Using the same rule, yields, `n^(0.5*8)`

The solution for b is `n^4.`

c)  `0.65^(-1/2)`

`(0.65^(1/2))^-1`

`(sqrt(.65))^-1`

`1/(sqrt(.65))` = `1.2403`

The solution to c is 1.2403

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