Math, asked by AbSh01, 1 year ago

If √5^n = 125 , then 5^n√64 = No direct answer please solve step by step

Answers

Answered by sivaprasath

solution:

Given:

$\sqrt{5^n}=125$

To find:

   $[(5)^n] \sqrt{64} =?$

    As, we know,.

=> $( \sqrt{(5^n)}) =125$

=> $5^{ \frac{n}{2} } = 125$

=> $5^ \frac{n}{2} = 5^3$                        (cancelling out 5 as common base)

=> $\frac{n}{2} =3$

=>n=2(3)

=>n=6

   Substituting here,/.

=> $5^n \sqrt{64}$

=> $5^n (8)$

=> $5^6(8)$

=>25³ × 2³                                 ( $5^6=(5^2)^3=(25)^3,$ and 8=2×2×2=2³)

=>(25 × 2)³

=>(50)³

=>(5 × 10)³

=> (5)³ × (10)³

=> 125 × 1000

=> 125000

           Hope it Helps!!

sivaprasath: Mark as Brainliest

AbSh01: sorry replace √5^n by √(5^n)

sivaprasath: np

AbSh01: if you don't feel bad can you do the answer by replacing it I will mark you as the brainliest

sivaprasath: ok,.

sivaprasath: but,where should I change

sivaprasath: oh,I understood,.

sivaprasath: same answer only comes,even if I replace that,don't worry,.

sivaprasath: I changed it,

Answered by abhinavrishisaka9490

Answer:

the answer is 12500

Step-by-step explanation:

please support me

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