Question

4. By what number should (-2/3)* be divided so that the quotient may be (4/27)2? [ 4 Marks]​

Answer 1

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CORRECT QUESTION:-
By what number should
$( \frac{ - 2}{3} {)}^{ - 3}$
be divided so that the quotient may be
$( \frac{4}{27} {)}^{ - 2}$
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ANSWER ♡

Let no. be x
$\frac{ ( \frac{ - 2}{3} {)}^{ - 3} }{x} = ( \frac{4}{27} {)}^{ - 2}$
$= > \frac{ (\frac{ - 3}{2} {)}^{3} }{x} = ( \frac{27}{4} {)}^{2}$
$= > x = \frac{( \frac{ - 3}{2} {)}^{3} }{( \frac{27}{4} {)}^{2} }$
$\boxed{= > x = \frac{ - 2}{27} }$
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Answer 2

Answer: =(-2/3)^3÷ (4/27)-2

=(3/-2)^3÷ (27/4)^2

=(27/-8) ÷ (729/16)

=27/-8 ×16/729

=-2/27

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