Posted by **lamiya** on Saturday, September 12, 2009 at 6:11pm.

Simplify the expressions.

1. (-6c^2)(2c^2-3c)

2. (-5d-10d^2)(-6d^3)

3. x^3-(4x+3x^2)(x^2)

4. (-8y^2)(3y-4)+6y^2-5y^3

5. (18m/-4n) / (-1/4m)

6. (5x^2) / (2x/15)

7. (-16x+9) / (-4)

8. (-32-4x) / (-8)

I don't get how to do these. Please help!! Thanks a lot!! =)

- algebra -
**MathMate**, Saturday, September 12, 2009 at 6:35pm
First you have to study the laws of exponents, which include:

a^{x} * a^{y} = a^{x+y}

a^{x} / a^{y} = a^{x-y}

a^{x} * a^{y} = (a^{x+y})^{y} = a^{xy}

a^{-x} = 1/a^{x}

a^{1/x} = xth root of a

When you have a multiplication of powers, you would group together factors with the same base and apply the above rules.

I will do the first one to give you a kick-start.

(-6c^2)(2c^2-3c)

= -6 (c²)(2c²-3c)

= -6 (2c^{2+2} - 3c^{2+1})

= -6(2c⁴-3c³)

= -12c⁴+18c³)

- algebra -
**MathMate**, Saturday, September 12, 2009 at 6:36pm
You can now attempt the rest of the problems and send in your answers for checking if you wish.

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