Question

5^a= 3125 then find 5 ^(a-3)

Answer 1

Answer:

$\boxed{25}$

Step-by-step explanation:

Given :

$5^a = 3125$

$\implies 5^a = 5^5$

Comparing the roots we get:

$a=5$

Now put this in the question :

$5^{a-3}$

$\implies 5^{5-3}$

$\implies 5^2$

$\implies 25$

The value is 25.

Hope it helps

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Answer 2

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐

Given, 5^a = 3125
=> 5^a = 5^5
=> a = 5

Therefore, now required remaining portion

=> 5^(a-3) = 5^(5-3) = 5^2 = 25 [Ans.]

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✌✌ STEP-BY-STEP DETAILS ✌✌

➡ First of all, we split 3125 with reference to the functional powers of 5.

➡ We take the expression 5^(a-3), in which we had put the value if a in its place.

➡ We got answer (here, 25).

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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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