Question

simplify { ( -3/2)^-2}^-3​

Answer 1

Answer:

{ ( -3/2)^-2}^-3​

( -3/2)^-2

(-2/3)^2

(4/9)

(4/9)^-3

(9/4)^3

81/64

1 27/64 (Mixed fraction)

= 1.265 ( approx )

Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

$\sf{[(\dfrac{-3}{2})^{(-2)}]^{(-3)}$

$= \sf{[(\dfrac{2}{-3})^{2}]^{-3}$

$\sf{(\dfrac{4}{9})^{-3}}$

$\sf{(\dfrac{9}{4})^3}$

$= \dfrac{729}{64}$ is the answer.

Note:-

• Whenever there is a negative sign , the fraction reciprocals.
• The positive power does not affect any fraction.
• Even power change negative number base to positive.