Math, asked by guptaarchita318, 1 month ago

((3/4)2)-2 × 1/4 ÷ (4/3)3
simplify the following and express the result in the form of positive exponent

please don't type wrong answer please​

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Answers

Answered by aryansjain2007
12

Answer:

1/3

Step-by-step explanation:

[(3/4)²]-²×1/4÷(4/3)³

=(3/4)²×‐²×1/4÷(4/3)³

=(3/4)‐⁴×1/4÷(4/3)³

=(4/3)⁴×1/4÷(4/3)³

=(4/3)⁴‐³×1/4

=(4/3)¹×1/4

=(1/3)¹

This maybe the correct answer

Answered by CPSEKHAR
4

Answer:

1/3

Step-by-step explanation:

Solution : Given

((3/4)^2)^(-2)×(1/4)÷(4/3)^3

= ((4/3)^(-2))^(-2)×(1/4)×(3/4)^3

= (4/3)^4×(1/4)×((3^3)/(4^3))

= ((4^4)/(3^4)×(1/4)×((3^3)/(4^3))

= 1/3

Therefore ((3/4)^2)^(-2)×(1/4)÷(4/3)^3 =1/3

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