Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[tex]\frac{10x^6y^{12}}{-5x^-2y^-6}[/tex]
We will use two rules :
[tex]a^m\times a^n=a^{m+n}\\\\and,\\\\a^m\div a^n=a^{m-n}[/tex]
So, it will become,
[tex]\frac{10x^6y^{12}}{-5x^{-2}y^{-6}}\\\\\frac{10}{-5}\times \frac{x^6}{x^{-2}}\times \frac{y^{12}}{y^{-6}}\\\\=-2\times x^{6-(-2)}\times y^{12-(-6)}\\\\=-2x^{6+2}\times y^{12+6}\\\\=-2x^{8}y^{18}[/tex]
Hence, Option 'B' is correct.
