Answer:
The given expression [tex]2x^4yx \times 6xy^2z^3[/tex] on multiplying is [tex]12x^6y^3z^3[/tex]
Step-by-step explanation:
Consider the given two expressions [tex]2x^4yx[/tex] and [tex]6xy^2z^3[/tex]
We have multiply both expressions,
[tex]2x^4yx \times 6xy^2z^3[/tex]
To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,
[tex]x^a\cdot x^b=x^{a+b}[/tex]
Then power of x together will be,
[tex]x^4\cdot x\cdot x=x^{4+1+1}=x^6[/tex]
Similarly for y powers,
[tex]y \cdot y^2=y^{1+2}=y^3[/tex]
Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
[tex]2x^4yx \times 6xy^2z^3[/tex] is [tex]12x^6y^3z^3[/tex]
