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Simplify (8a^3/27x^-3)^-2/3 ​

Simplify 8a327x323 class=

Sagot :

Answer:To simplify the expression, we can start by applying the power rules:

(8a^3/27x^-3)^-2/3 = ((8a^3)/(27x^-3))^(-2/3)

= (8a^3/27x^-3)^(-1/3)(-2)

= ((8a^3/27x^-3)^(-1/3))^2

= ((27x^-3)/(8a^3))^(1/3))^2

= (3x/(2a))^2

= (9x^2)/(4a^2)

So the simplified expression is (9x^2)/(4a^2).

Step-by-step explanation:

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