Question

# By what number should $${\left( {\dfrac{{ 2}}{-5}} \right)^{ - 3}}$$ be divided so that the quotient may be $${\left( {\dfrac{{ - 4}}{{125}}} \right)^{ - 2}}$$

Solution

## $${\left( {\dfrac{{ 2}}{-5}} \right)^{ - 3}}$$ = $${\left( {\dfrac{{ -5}}{2}} \right)^{ 3}}$$$${\left( {\dfrac{{ - 4}}{{125}}} \right)^{ - 2}}$$ = $${\left( {\dfrac{{ 125}}{{-4}}} \right)^{ 2}}$$let the number  $$= x$$$$x\times{\left( {\dfrac{{ 125}}{{-4}}} \right)^{ 2}}$$ = $${\left( {\dfrac{{ -5}}{2}} \right)^{ 3}}$$$$x=$$$${\left( {\dfrac{{ -125}}{8}} \right)^{ }}$$$${\left( {\dfrac{{ 16}}{125\times125}} \right)^{ }}$$$$x=\dfrac{-2}{125}$$Mathematics

Suggest Corrections

0

Similar questions
View More