SOLUTION: I only have a few hours left to turn in my assignment and really need help with these problems. I have already completed over 50 problems and keep getting things confused so I'm no

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Question 531014: I only have a few hours left to turn in my assignment and really need help with these problems. I have already completed over 50 problems and keep getting things confused so I'm not even sure if those are correct. Please help! I would greatly appreciate being shown how to solve these problems. Thanks in advance!

1. Find the following. 12^sqrt(-5)^12
2. Multiply (-3x)^2(2x^8)^2
3. Use the foil method to find the product (3x^3-4)(x^6-1)
4. Divide and simplify 3x-27/14 divide by x-9/6x
5. Find all numbers for which the rational expression is undefined. q^3-2q/q^2-16
6. Multiply (5x+4)(7x^2+9x+4)
7. Factor completely 3x^5-27x^4+9x^3
8. Subtract. Simplify, if possible. (4-v/v-7)-(6v-5/7-v)
9. Perform the indicated operations and simplify (y-6/y-8) � (y+1/y+8 )+(y-40/y^2-64)
10. Simplify by taking roots of the numerator and the denominator 3^sqrt 8x^14/y^3
11. Multiply and simplify. (4b^2/4b^2-24b+36)(4b-12/2b)
12. Solve. 2/v=6/v-1/3
13. Add. Simplify if possible. (3w/w^2-25) + (w/w-5)

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first three to get you started

# 1

Use the idea that where n is even

So

or simply

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# 2

(-3x)^2(2x^8)^2

(-3)^2*(x^2)(2)^2*(x^8)^2

9x^2*4*x^16

36x^18

So (-3x)^2(2x^8)^2 = 36x^18

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# 3

(3x^3-4)(x^6-1)

(3x^3)(x^6)+(3x^3)(-1)+(-4)(x^6)+(-4)(-1)

3x^9-3x^3-4x^6+4

So (3x^3-4)(x^6-1)=3x^9-3x^3-4x^6+4