Question

Multiply and simplify. 2x4yx⋅6xy2z3

Answer 1

12x^6y^3z^3 hope this helps

Answer 2

The given expression
`2x^4yx * 6xy^2z^3` on multiplying is
`12x^6y^3z^3`

Explanation:

Consider the given two expressions
`2x^4yx` and
`6xy^2z^3`

We have multiply both expressions,

`2x^4yx * 6xy^2z^3`

To multiply two terms first multiply constant numbers that is 6 × 2 = 12

For x , y and z apply property of exponent,

`x^a\cdot x^b=x^(a+b)`

Then power of x together will be,

`x^4\cdot x\cdot x=x^(4+1+1)=x^6`

Similarly for y powers,

`y \cdot y^2=y^(1+2)=y^3`

Since first term do not have any expression for z so it will remain same.

Thus, the given expression on multiplying become,

`2x^4yx * 6xy^2z^3` is
`12x^6y^3z^3`