Question

Which expression is equivalent to 3x^-6y^-3/15x^2y^10

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:

The correct option is 2.

Step-by-step explanation:

The given expression is

$\frac{3x^{-6}y^{-3}}{15x^2y^{10}}$

$\frac{x^{-6}y^{-3}}{5x^2y^{10}}$

$\frac{x^{-6-2}y^{-3-10}}{5}$            $[\because \frac{x^a}{x^b}=x^{a-b}]$

$\frac{x^{-8}y^{-13}}{5}$

$\frac{1}{5x^{8}y^{13}}$            $[\because a^{-n}}=\frac{1}{a^n}]$

Therefore the correct option is 2.