Which expression is equivalent to 3x^-6y^-3/15x^2y^10
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Answer:
The correct option is 2.
Step-by-step explanation:
The given expression is
[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex]
[tex]\frac{x^{-6}y^{-3}}{5x^2y^{10}}[/tex]
[tex]\frac{x^{-6-2}y^{-3-10}}{5}[/tex] [tex][\because \frac{x^a}{x^b}=x^{a-b}][/tex]
[tex]\frac{x^{-8}y^{-13}}{5}[/tex]
[tex]\frac{1}{5x^{8}y^{13}}[/tex] [tex][\because a^{-n}}=\frac{1}{a^n}][/tex]
Therefore the correct option is 2.