Question

Which expression is equivalent to :
3x^-16 y^-3 / 15x^2 y^10
Assume: x ≠ 0 ; y ≠ 0
A) 5 / x^12 y^30
B) 1 / 5x^8 y^13
C) 5 / x^4 y^7
D) y^7 / 5x^4

Answer 1

$\frac{3 x^{-16} y^{-3} }{15 x^{2} y ^{10} }= \\ = \frac{3}{15 x^{2} x^{16} y ^{10}y ^{3} }= \\ = \frac{1}{5 x^{18}y^{13} }$
x ≠ 0, y ≠ 0
Answer:
B ) 1 / 5 x^18 y^13