algebra
posted by lamiya on .
Simplify the expressions.
1. (6c^2)(2c^23c)
2. (5d10d^2)(6d^3)
3. x^3(4x+3x^2)(x^2)
4. (8y^2)(3y4)+6y^25y^3
5. (18m/4n) / (1/4m)
6. (5x^2) / (2x/15)
7. (16x+9) / (4)
8. (324x) / (8)
I don't get how to do these. Please help!! Thanks a lot!! =)

First you have to study the laws of exponents, which include:
a^{x} * a^{y} = a^{x+y}
a^{x} / a^{y} = a^{xy}
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 kickstart.
(6c^2)(2c^23c)
= 6 (c²)(2c²3c)
= 6 (2c^{2+2}  3c^{2+1})
= 6(2c⁴3c³)
= 12c⁴+18c³) 
You can now attempt the rest of the problems and send in your answers for checking if you wish.