Simplify the expressions.

Question

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!! =)

Answer 1

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)(2c&sup2-3c)
= -6 (2c²⁺² - 3c²⁺¹)
= -6(2c⁴-3c³)
= -12c⁴+18c³)

Answer 2

You can now attempt the rest of the problems and send in your answers for checking if you wish.