Question

Please help, I need the answer ASAP! This is timed... Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10 ? Assume x≠0, y≠0.

Answer 1

Answer:

1/(5x^8y^13)

Step-by-step explanation:

To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law.  The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: $\frac{a^m}{a^n}= a^{m-n}$

Therefore:

$\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\ \\\frac{1}{5x^8y^{13}}$

Answer 2

Answer:

b

Step-by-step explanation: