To multiply them, we will multiply the coefficient 5 and 6
5 * 6 = 30
for x we will add their power to multiply them
[tex](5x^3)(6x^4)=(5\times6)(x^{3+4})=30x^7[/tex][tex](6x^7)(\frac{1}{2}x^8)[/tex]We will multiply 6 by 1/2
6 * 1/2 = 3
Then add the power of x
[tex](6x^7)(\frac{1}{2}x^8)=(6\times\frac{1}{2})(x^{7+8})=3x^{15}[/tex]