Question

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

Answer 1

Let the number that should be multiplied be x

So according to the question :

- 4 / 5 × - 4 / 5 × x = 2 / 3 × 2 / 3 × 2 / 3

16 / 25 × x = 8 / 27

x = 8 / 27 ÷ 16 / 25

x = 8 / 27 × 25 / 16

x = 25 / 54

So the no. that should be multiplied is 25 / 54.

Hope it helps you :-)

Have a good day.

Answer 2

Answer:

Answer is 25/54 .

And now we will see how -

Step-by-step explanation:

Let the number that should be multiplied be x , so according to the question :-

-4/5 * -4/5 * x = 2/3 * 2/3 * 2/3

= 16/25 * x = 8/27

x = 8/27 ÷ 16/25

x = 8/27 * 25/16

x = 25/54

● So , the no. that should be multiplied is 25/54 .

Hope it helps you :)