The exponets apply to every term inside the parenthesis. For (-4n)^2, you get 16n^2. For (3n^5)^2, you get 9n^10. For (-4*3)^2, you get -12^2 = 144. For (n*n^5)^2, you get (n^6)^2 = n^12. For 24*n^6^2
Hamad~ About your 2nd method: first you can't have 13 fruits if you start with 5 apples and 7 oranges since 5 + 7 = 12. Secondly most of your logic seems reasonable and you did arrive at a 'correct'
You take the value of y, which is 9x-28 and you fill that into the second equation for y. 8x - 3(9x-28) = 27 Do the multiplication 8x - 27x + 84 = 27 add like terms -19x + 84 = 27 subtract
The derivative is the quotient rule where f(x) = g(x)/h(x) where g(x) = 2009^x and h(x) = x^2009. g'(x) = ln(2009)2009^x and h'(x) = 2009x^2008. The derivative is (lo d hi - hi d lo)/lo². This
There may be several question, but they won't take long to answer. 2 Divide numerator and denominator by x². As x->∞, you get -1/1 = -1. 4 Limit x/x as x->0 is 1/1 = 1. A 6 Multiply numerator

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