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

asked Dec 18, 2023 169k views

20 votes

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

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14 votes

Key the ruler of reducing similar terms answer is D)

Memoalv answered Dec 20, 2023

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6 votes

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

JLopez answered Dec 22, 2023

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