By what number should(-3/2)-3 be divided so that the quotient may be (4/27)-2
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Let the number be x by which (-3/2)^-3 is divided.
∴ {(-3/2)^-3}/x = (4/27)^-2
∴ {(-3/2)^-3}/(4/27)^-2 =x
⇒ x = {(4/27)²}/(-3/2)³
⇒ x = 4/27 × 4/27 × (-2/3) × (-2/3) × (-2/3)
x = -128/19683 Answer
∴ {(-3/2)^-3}/x = (4/27)^-2
∴ {(-3/2)^-3}/(4/27)^-2 =x
⇒ x = {(4/27)²}/(-3/2)³
⇒ x = 4/27 × 4/27 × (-2/3) × (-2/3) × (-2/3)
x = -128/19683 Answer
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