Question

Which is the following value 'm' in 6*m/6*-3 equal to 6*5

Answer 1

Answer:

m = 2

Step-by-step explanation:

$\frac{ {6}^{m} }{ {6}^{ - 3} } = {6}^{5} \\ {6}^{m} \times {6}^{3} = {6}^{5} \\ {6}^{m + 3} = {6}^{5} \\ bases \: are \: same \: power \: to \: be \: equated \\ m + 3 = 5 \\ m = 5 - 3 \\ m = 2$

hope you get your answer

Answer 2

Answer:m=2

Step-by-step explanation:6^m/6^-3=6^5

6^m×6^3=6^5 (since 1/a^-m=a^m)

6^m=6^5/6^3

6^m=6^5-3 (since a^m/a^n=a^m-n)

6^m=6^2 (sInce six is cancelled both sides)

m=2