Question

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x and y do not equal zero.

Answer 1

Answer:

$\frac{3}{5x^{6}y^{6}}$

Step-by-step explanation:

$\frac{-9x^{-1}y^{-9}}{-15x^5y^{-3}}$

To simplify the expression , apply exponential property

$\frac{a^m}{a^n} =a^{m-n}$ when the base are same then we subtract the exponents.

$\frac{x^{-1}}{x^5} =x^{-1-5}=x^{-6}$

$\frac{y^{-9}}{y^{-3}} =y^{-9+3}=y^{-6}$

Divide both number by 3

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

Write the answer with positive exponent

$\frac{3}{5x^{6}y^{6}}$

Answer 2

27x^4/5y^2

hope it helps.