Respuesta :

GIVEN

The expression is given to be:

[tex]4x\cdot \frac{3}{2}x^5[/tex]

SOLUTION

Multiply the numbers in the expression:

[tex]4\times\frac{3}{2}=6[/tex]

Therefore, the expression becomes:

[tex]6x\cdot x^5[/tex]

Apply the law of exponents:

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Therefore, the expression becomes:

[tex]\Rightarrow6x^{1+5}=6x^6[/tex]

The LAST OPTION is correct.