Question

hi guys plz ans my que​

Answer 1

Answer:

[ 5/√2 ]⁵

Step-by-step explanation:

$\text{According to the question, we are required to find:}\\\\\implies {\dfrac{ \sqrt{2}}{5}}^8 \div {\dfrac{\sqrt{2}}{5}}^{13} = ?$

For the sake of simplicity lets assume $\dfrac{\sqrt{2}}{5}}$ as some constant 'a'. Substituting it as 'a' we get,

⇒ a⁸ ÷ a¹³

We know that,

⇒ aᵇ ÷ aⁿ = aᵇ⁻ⁿ

Similarly, in this question we can write it as,

⇒ a⁸ ÷ a¹³ = a⁸⁻¹³ = a⁻⁵

Now we know that,

⇒ a⁻ⁿ = ( 1/a )ⁿ

Therefore, a⁻⁵ = ( 1/a )⁵

Now substituting back as number form we get,

⇒ [ 1 / ( √2/5 ) ]⁵ = [ 5/√2 ]⁵

This is the required answer.