Answer:
[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]
Hence, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]-6x^2\left(3x^5\right)[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
i.e. [tex]x^2x^5=\:x^{2+5} \\[/tex]
so the expression becomes
[tex]-6x^2\left(3x^5\right)=-6\cdot \:\:3x^{2+5}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:2+5=7[/tex]
[tex]=-6\cdot \:3x^7[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18[/tex]
[tex]=-18x^7[/tex]
Therefore,
[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]
Hence, option (A) is true.
