Question

if m^n is 2401 then m/n is

Answer 1

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Answer 2

Answer:

The value of m/n is 7/4.

Step-by-step explanation:

Given: $m^n=2401$

To find : Value of m/n.

Clearly in given statement.

LHS is a exponential And RHS is a Number.

First we convert given number in exponential form.

Prime Factorization of 2401 = 7 × 7 × 7 × 7 = $7^4$

So, We have

$m^n=7^4$

By comparing both sides,

we get

m = 7  and n = 4

⇒ m/n = 7/4

Therefore, The value of m/n is 7/4.