Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?

Mathematics

2 answers:

Anit [1.1K]3 years ago

4 0

Answer:

$\dfrac{p^{7} q}{160}$

Step-by-step explanation:

$\dfrac{(4p^-4 q)^-2}{10pq^-3} =$

$= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}$

$= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}$

$= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}$

$= \dfrac{1}{160}p^{7} q$

$= \dfrac{p^{7} q}{160}$

iogann1982 [59]3 years ago

3 0

Answer:

C on e2020/edge

Step-by-step explanation:

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