Answer:
[tex]96x^7[/tex]
Step-by-step explanation:
Remember the following properties:
Multiplication of powers of equal base:
[tex]x^n*x^m=x^{n+m}[/tex]
In this case we have the following expression:
[tex](2x^2)(3x^3)(4x)^2[/tex]
[tex](2x^2)(3x^3)(16x^2)[/tex]
When applying the mentioned property we obtain the following
[tex](2*3*16x^{2+3+2})[/tex]
Simplifying we get:
[tex](96x^{7})[/tex]
The answer is the third option
Answer:
[tex]96x^7[/tex]
Step-by-step explanation:
To obtain the polynomial form we apply the distributive property .
Powers property
to multiply powers of different bases.
The bases are multiplied and the exponents are added
[tex](2x^2)(3x^3)(4x)^2= 6x^5(16x^2)\\ 6x^5(16x^2)=96x^7[/tex]
[tex](2x^2)(3x^3)(4x)^2=96x^7[/tex]
