Question

(√6)^n = 6⁴ then find n​

Answer 1

Answer:

n=8 my friend

Step-by-step explanation:

(√6)^n =6^4

6^1/2*n=6^4

bases are equal powers should be equated

1/2n=4

n/2=4

n=4*2

n=8

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Answer 2

$\color{red}{\huge{\underline{\underline{GIVEN\dag}}}}$

• $( \sqrt{6})^{n} = {6}^{4}$

$\color{red}{\huge{\underline{\underline{SOLUTION\dag}}}}$

$\implies ( {6}^{ \frac{1}{2} })^{n} = {6}^{4}$

$\implies( 6)^{ \frac{n}{2} } = {6}^{4}$

We Know that;

when bases are same powers can be equated.

$\implies \frac{n}{2} = 4$

$\color{orange} \therefore n = 8$

HOPE THAT HELPS!!