Find the value of n from the following:$11^n \times 11^2=11^4$

Given :

The given expression is $11^n \times 11^2=11^4$.

To do :

We have to find the value of n.

Solution :

We know that,

$a^m \times a^n = a^{m+n}$

$11^n \times 11^2=11^4$

$(11)^{n+2}= 11^4$

Comparing the powers on both sides,

$n+2 = 4$

$n = 4-2$

$n = 2$.

Therefore, the value of n is 2.

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Updated on: 10-Oct-2022

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