Five Basic Algebra Questions

1. 5^–1 (3^–2)
1/45
-5/6
30
1/14


2. a^2b^0(a^–3)
–a
1/a^6
1/a
–6a

3. (2x^5)(3x^12)
6x^60
5x^60
5x^17
6x^17


7. (4x^2 + x + 3) + (5x^2 + 9x – 2)
20x^4 + 9x^2 – 6
20x^2 + 9x + 1
9x^2 + 10x +1
9x^2 + 36x – 8


8. 3w(12w – 1) – 8w
36w^2 – 40w
36w^2 – 11w
28w – 1
15w^2 – 24w

1]
1/5 times 1/3^2 = 1/45

2]
b^0 = 1
answer: 1/a

3]
when multiplying powers are added
6x^17

4]
just remove brackets and collect like terms together
9x^2 + 10x + 1

5]
multiply all items in the bracket by 3w then take away 8w
gives
36w^2 - 11w

1) 1/5*1/9 = 1/45
2)a^2*1*1/a^3 = 1/a
3)6x^17
7)Add the like terms 9x^2+10x+1
8)3w(12w – 1) – 8w = 36w^2-3w-8w = 36w^2 - 11w