Simplify:
(3cd^4)(-2c^2)(5cd^3)
A: 6c^4d^7
B: -30c^4d^7
C: 6c^2d^7
D: -30c^2d^7
I am completely clueless on what the answer would be, help appreciated
;-;
how can you be "completely" clueless? Surely examples just like this one were worked out for you.
This relies on the fact that multiplication is commutative -- you can switch things around as you will.
(3cd^4)(-2c^2)(5cd^3)
= 3 c d^4 * -2 c^2 * 5 c d^3
= (3 * -2 * 5) * (c * c^2 * c) * (d^4 * d^3)
= -30 c^4 d^7
I think shes askin for answers, thats why :p
I can fo this quiz to find out the right and wrong answers for you, just give me a few minutes to do it ^^
To simplify the given expression (3cd^4)(-2c^2)(5cd^3), you need to perform multiplication and apply the rules of exponents.
First, you can multiply the coefficients together: 3 * -2 * 5 = -30.
Next, you multiply the variables with the same base, c and d, by adding the exponents. For the variable c, you have c^1 in the first term, c^2 in the second term, and c^1 in the third term. Adding the exponents, you get c^(1+2+1) = c^4.
For the variable d, you have d^4 in the first term, d^0 (since any number raised to the power of 0 is 1) in the second term, and d^3 in the third term. Adding the exponents, you get d^(4+0+3) = d^7.
Putting it all together, the simplified expression is -30c^4d^7.
So, the correct answer is option B: -30c^4d^7.