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Solve the Following then Show How You Derived the Answer

Algebra
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Sep 5th, 2014

1_  -3x^5 = -3x^5

2)_  (j - 3k)^3 = j^3 - 9k^3 - 3j(3k)(j - 3k) = j^3 - 9k^3 - 9jk(j - 3k) = j^3 - 9k^3 - 9j^2k + 18jk^2 

3_  7t^2(-4t)^4 = 7 t^2(256 t^4) = 1792 t^6

4_  -(-2)^-4 = - 1/(-2)^-4 = - 1/16

5_  (5/8)^-2 = 1 / (5/8)^2 = (8/5)^2 = 64 / 25

6_  (-3/2)^-3 = 1 / (-3/2)^3 = (-2/3)^3 = - 8 / 27

7_  (68t^5 g^-3) / 4t^-3 g^4 =  (68t^5+3 ) / 4g^4+3 = 68t^8 / 4g^7  = 17t^8 / g^7

8_ (-4a^3 b^7)^-2 = 1 / (-4a^3 b^7)^2 = 1 / (16a^6 b^14)

9_  6m^4 n^9(-3m^2 n^3)^-2 = 6m^4 n^9 * 1/(-3m^2 n^3)^2 = 6m^4 n^9 / (9m^4 n^6) = 2n^3 / 3

10_  (7.2 * 10^-5)(4.5 * 10^3) = 32.4 * 10^-5+3 = 32.4 * 10^-2

11_  1.7 * 10^5 / 3.4 * 10^9 = 10^5 / 2 * 10^9 = 1 / 2 * 10^9-2 = 1 / 2 * 10^7

12_  (7.6 * 10^8)(2.8 * 10^24) = 21.28 * 10^24+8 = 21.28 * 10^32

Sep 5th, 2014

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