Question

(3^-3)^-2/3 надо решить. Ответы:1/81;81;1/729;729;9

Answer 1

$(x^{-3} )^-{\frac {2}3}} = 3^2 = 9$

Answer 2

To solve the expression (3^-3)^(-2/3), we follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify the exponent inside the parentheses first. (3^-3) = 1/(3^3) = 1/27

Step 2: Now, we have (1/27)^(-2/3).

Step 3: To simplify (1/27)^(-2/3), we take the reciprocal of the base raised to the power of the absolute value of the exponent (keeping in mind that negative exponent means reciprocal). (1/27)^(-2/3) = 27^(2/3) = ∛(27^2) = ∛(729) = 9

So, the answer is 9.