Question

By what number - 3/2^-3should
be divided so that the quotient may be - 8/27^2​

Answer 1

Explanation:

Let(

2

−3

)

−3

bedivided

byxsothatthequotient

is(

27

−8

)

−2

\left(\frac{-3}{2}\right)^{-3}\div x = \left(\frac{-8}{27}\right)^{-2}(

2

−3

)

−3

÷x=(

27

−8

)

−2

\left(\frac{-3}{2}\right)^{-3}\div \left(\frac{-8}{27}\right)^{-2}=x(

2

−3

)

−3

÷(

27

−8

)

−2

=x

\left(\frac{-2}{3}\right)^{3}\times \left(\frac{-8}{27}\right)^{2}=x(

3

−2

)

3

×(

27

−8

)

2

=x

\left(\frac{-8}{27}\right)^{1}\times \left(\frac{-8}{27}\right)^{2}=x(

27

−8

)

1

×(

27

−8

)

2

=x

\left(\frac{-8}{27}\right)^{1+2}=x(

27

−8

)

1+2

=x