Question

Simplify the expression m^-6n^-3/m^-13n^-1

A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2

Answer 1

Key the ruler of reducing similar terms answer is D)

Answer 2

`(m^(-6) \cdot n^(-3))/(m^(-13) \cdot n^(-1))\\\\=m^(-6-(-13)) \cdot n^(-3-(-1))\\\\=m^(-6+13) \cdot n^(-3+1)\\\\=m^7 \cdot n^(-2)\\\\=(m^7)/(n^2)`