Question

by what number should (-2/3)^-3 be divided so that the quotient may be (4/27)^-2 ? ​

Answer 1

Answer:

-2/27

Step-by-step explanation:

let the number is x then

(-2/3) ^-3 ÷ X = (4/27 ) ^ -2

(3/-2) ^ 3 ÷ X = ( 27/4) ^ 2

-27/8 ÷ X = 729/ 16

-27/8 = (729/16 )* X

-27/8 ÷ 729/16 = X

-27/8 * 16 /729= X

-2/27 = X

Answer 2

Answer:

-2/27

Step-by-step explanation:

let the number is x then

(-2/3) ^-3 ÷ X = (4/27 ) ^ -2

(3/-2) ^ 3 ÷ X = ( 27/4) ^ 2

-27/8 ÷ X = 729/ 16

-27/8 = (729/16 )* X

-27/8 ÷ 729/16 = X

-27/8 * 16 /729= X

-2/27 = X

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