Question

plz help me guys it's maths​

Answer 1

Answer:

${ \frac{2}{5} }^{ - 3} \div { \frac{2}{5} }^{ - 7} = { \frac{2}{5} }^{2x} \\ { \frac{2}{5} }^{ - 3 + 7} = { \frac{2}{5} }^{2x} \\ { \frac{2}{5} }^{4} = { \frac{2}{5} }^{2x} \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2$

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

We are Given :-

$\Large \implies \sf{(\frac{2}{5}^{-3}) \: \div \: (\frac{2}{5})^{-7} \: = \: (\frac{2}{5})^{2x}}$

It is in division

So,

$\Large \implies {\sf{(\frac{2}{5})^{-3 \: + \: 7} \: = \: ( \frac{2}{5})^{2x}}}$

Now we can neglect base.

So,

$\Large \implies {\sf{- 3 \: + 7\: = \: 2x }}$

$\Large \implies {\sf{4 \: = \: 2x}}$

$\Large \implies {\sf{x \: = \: \frac{\cancel{4}}{\cancel{2}}}}$

$\Huge \implies {\boxed{\boxed{\sf{x \: = \: 2}}}}$