Question

find 'n' if 6^n×6³=6¹²​

Answer 1

Answer:

n=9

Explanation:

6^n×6³=6¹²

{a^n × a^m= a^(n+m)}

so

6^n+3=6^12

(when bases are same equate the powers)

so

n+3=12

n=12-3

n=9

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Answer 2

n×6³=6¹²

DIVIDE BOTH SIDES

\begin{gathered}n \times {6}^{3} \div {6}^{3} = {6}^{12} \div {6}^{3} \\ \\\end{gathered}

n×6

3

÷6

3

=6

12

÷6

3

\begin{gathered}n = {6}^{12} \div {6}^{3} \\ n = 9\end{gathered}

n=6

12

÷6

3

n=9

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