algebra
posted by lamiya .
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.
Respond to this Question
Similar Questions

algebra
Solve the system by addition or substitution. 16x4y=20 y=4x4 I ask for help with this and forgot to add the problem. can anyone help me understand how to do this? 
Algebra
There are two solutions to  16x  5  = 3. The greatest solution is ___. Since the expression, 16x  5, can be either positive or negative, solve for both. 16x  5 = 3 16x = 8 x = .5 (16x  5) = 3 16x + 5 = 3 16x = 2 x = 1/8 You … 
Math (Algebra II)
I'm trying to finish up my summer math packet, and I'm almost done, but I'm having trouble figuring out this one: "Divide and simplify these expressions." (3x^4  2x^3 + 16x  192) / (x^2  8) so, that's 3x to the 4th, minus 2x cubed, … 
Algebra II
Simplify this complex expressions to simple expressions. 1  _9_ x^2 __________ 1  _3_ x please help me .. 
algebra
x^2 +16x+64 x^2+16x=64 (x=3)^2=16x64 16x=64 x=4 Check this problem please 
Algebra 2
How do I simplify this: 16c10d+3d5c? 
math
Select the equation that solves this problem: Eight coins (dimes and nickels) are worth 60 cents. How many dimes are there? 
math
Select the equation that solves this problem: Eight coins (dimes and quarters) are worth 170 cents. How many dimes are there? 
math
Please check my answers! Simplify the product. 7x(x+4) A. 7x^2+4 B. 7x^2+28x <<<< C. 8x+4 D. 8x+11 Simplify the product. 4x (2x^3  7x^2 + x) A. 8x^428^3+4x^2 <<<<< B. 16x^47x^2+4x C. 8x^47x^2+x D. 16x^43x^3+4x^2 … 
Math
I sent this in a little while back but the file got corrupted and I have to re do it and I forgot the answer please if it is not done today I fail the year. Simplify the polynomial 16x^2 + 2 + 2x  15x^2  1 + 14x A:31x^2 + 16x + 1*** …