SOLUTION: Simplify the following expressions. 3) (5x)(8x^3)(x^4) a) 40x^8 b) 13x^7 c)40x^7 d)14x^8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the following expressions. 3) (5x)(8x^3)(x^4) a) 40x^8 b) 13x^7 c)40x^7 d)14x^8       Log On


   

Question 93038: Simplify the following expressions.
3) (5x)(8x^3)(x^4)
a) 40x^8 b) 13x^7 c)40x^7 d)14x^8


Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

(5x)(8x^3)(x^4)

And the options given are:

a) 40x^8 b) 13x^7 c)40x^7 d)14x^8


Solution:

Here we first multiply the constants(numbers) and then multiply the variables be adding their powers.

The given expression can be written as:

%28%285x%29%288x%5E3%29%28x%5E4%29%29

+%28%285%29%288%29%28x%29%28x%5E3%29%28x%5E4%29%29

%2840%28x%29%28x%5E3%29%28x%5E4%29%29

%2840+x%5E8%29 (Adding the powers)


Thus option (a) is the right choice

Thus the solution.