Question

plz tell me the answer of 16 ques​

Answer 1

$\Large{\underline{\underline{\mathfrak{Answer :}}}}$

The value of x is -2.

_____________________

$\Large{\underline{\underline{\mathfrak{Explanation :}}}}$

$\sf{\implies ({\frac{2}{5}})^{-5} \times ({\frac{2}{5}})^{-11} = ({\frac{2}{5}})^{8x}}$

We know that,

$\underline{\boxed{\boxed{\bf{ a^{m} \times a^{n} = a^{m + n}}}}}$

_________________[Putting Values]

$\sf{\implies ({\frac{2}{5}})^{-5 - 11} = ({\frac{2}{5}})^{8x}}$

$\sf{\implies ({\frac{2}{5}})^{-16} = ({\frac{2}{5}})^{8x}}$

Now,

Since bases are same, we can equate the powers,

$\sf{\implies -16 = 8x} \\ \\ \sf{\implies x = \frac{-\cancel{16}}{\cancel{8}}} \\ \\ \sf{\implies x = -2}$