1.

Find the value of m for which 6^m÷6^-4 = 6^8​

Answer»

ong>Answer:

{6}^{m}  \div  {6}^{ - <klux>4</klux>}  =  {6}^{8}

ACCORDING to the LAWS of Exponents.

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

{6}^{m - ( - 4)}  =  {6}^{8}

{6}^{m + 4}  =  {6}^{8}

Now, COMPARING Exponents.

m+4=8

m=8-4

m=4

So, The answer to your question is 4.



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