Question

Answer this qustion i have to write​

Answer 1

Step-by-step explanation:

Given :-

(-4/5)²

To find :-

Which number must be multiplied by (-4/5)² to get (2/3)³ ?

Solution :-

Given number = (-4/5)²

Let the required number be X

On multiplying (-4/5)² with X then

The result = (-4/5)²×X

According to the given problem

The result = (2/3)³

=> (-4/5)²×X = (2/3)³

=> [(-4×-4)/(5×5)]× X = (2×2×2)/(3×3×3)

=> (16/25)×X = 8/27

=> X = (8/27)/(16/25)

=> X = (8/27)×(25/16)

=> X = (8×25)/(27×16)

=> X = 25/(27×2)

=> X = 25/54

Therefore, X = 25/54

Answer:-

The required number for the given problem is 25/54

Check :-

The number = 25/54

Given number = (-4/5)² = 16/25

On multiplying both

=> (25/54)×(16/25)

=> (25×16)/(54×25)

=> 16/54

=>8/27

=> 2³/3³

=> (2/3)³

=> Given result

Verified the given relations in the given problem

Used formulae:-

• (a/b)^n = a^n/b^n

Answer 2

Answer:

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