Question

if you have (a*x^4)*(b*x^6), does that =ab(x)^10?

so, in other words, if I had...

10(x^7)*[(10x^3)+(5x^2)-7]

how would you simplify it?

Answer 1

yes
\[(a \times x^4) \times (b\times x^6)=ab(x)^{10}\]
and
\[10x^7 \times [10x^3+5x^2-7]=100x^{21}+50x^9+70x^7 \]