Question

Find the value of m for which 3^m÷ 3^–3= 35.

Answer 1

Step-by-step explanation:

It seems that there is little problem in this question. I think 35 should be written as $3^5$.

If it is so, then let us work it out.

${3}^{m} \div {3}^{ - 3} = {3}^{5} \\ \implies \: \frac{ {3}^{m} }{ {3}^{ - 3} } ={3}^{5} \\ \implies \: {3}^{m} \times {3}^{ 3} = {3}^{5} \\ \implies \: {3}^{m + 3} = {3}^{5} \\ \implies \:m + 3 = 5 \\ \implies \:m = 5 - 3 \\ \implies \huge \boxed{ \:m = 2}$

Answer 2

Step-by-step explanation:

the value of the m =2.........