Question

by which number should 2/5 power -3 be multiplied to get 1/2 power 4 as product​

Answer 1

Answer:

1/250 or 0.004

Step-by-step explanation:

Let X be the required number

Now,

$(\frac{5}{2}) {}^{3} \times x = ( \frac{1}{2} ) {}^{4}$

Now , ...

$x = ( \frac{1}{2} ){}^{3} \times (\frac{2}{5} )^{3} \times \frac{1}{2}$

Now, ....

$x = ( \frac{1}{5} ) {}^{3} \times \frac{1}{2}$

Solving it ......

$x = \frac{1}{250} = 0.004$

Therefore, X = 0.004