Question

which number must be multiplied by (-4/5)ka power2 to get (-3/7)ka power4

Answer 1

Hi..
Here is your answer..

Solution:-
Let the number be x
$= > { (\frac{- 4}{5}) }^{2} \times x = { (\frac{ - 3}{7} )}^{4}$
$= > \frac{16}{25} \times x = \frac{81}{2401} \\ = > x = \frac{16}{25} \div \frac{81}{2401}$
$= > x = \frac{16}{25} \times \frac{2401}{81} \\ = > x = \frac{38416}{2025}$
$= > x = { (\frac{196}{45}) }^{2}$
Hence ,the number which must be multiplied by -4/5^2 to get -3/7^4 is 196/45^2

Hope it helps uh..✌️✌️✌️