Answer:
[tex]-8x^{10}[/tex]
Step-by-step explanation:
[tex](2x^2)^3(-x^4)[/tex]
Apply the rule [tex](-a)=-(a)[/tex]:
[tex]\implies -(2x^2)^3(x^4)[/tex]
Apply the exponent rule [tex](a \cdot b)^c=a^cb^c[/tex] :
[tex]\implies-(2^3\cdot x^{2 \times 3})x^4[/tex]
[tex]\implies -8 \cdot x^6 \cdot x^4[/tex]
Apply exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies -8x^{6+4}[/tex]
[tex]\implies -8x^{10}[/tex]
