Question

( =left(frac{-4}{5}right)^{-10} timesleft(-frac{4}{5}right)^{15} divleft(-frac{4}{5}right)^{9} )
( =left(-frac{5}{4}right)^{10} timesleft(-frac{4}{5}right)^{15} timesleft(frac{5}{-4}right)^{9} )
( =left(-frac{5}{4}right)^{10+9} timesleft(frac{-7}{5}right)^{15} )
( =left(frac{-5}{4}right)^{19} timesleft(frac{-4}{5}right)^{15} )
( =left(frac{-5}{4}right)^{19} timesleft(frac{-5}{4}right)^{-15} )
( =left(-frac{5}{4}right)^{19-15}=left(frac{-5}{4}right)^{4}=(-1)^{4}left(frac{85}{4}right)^{4} )
( =left(frac{5}{4}right)^{4} )

# 9. Express the following into single exponential form 10. By what number should (15)" be divided so that the quotient may be equal to (-5)

Solution