Question

Solve for me:(3) power 2m+1 multiplied (3) power 3 equal to (-3) power 12

Answer 1

$\bold{ {3}^{2m + 1} \times {3}^{3} = { - 3}^{12} } \\ \\ \\ \bold{ {3}^{2m + 1 + 3} = {3}^{12} } \: \: \: \: \: \: \: \: \: ( \: negative \: base \: with \: positive \: power \: is \: equal \: to \: its \: positive \: )$



$\mathbf{ \underline{If \: bases \: are \: same, \: powers \: are \: equal , }}$



2m + 1 + 3 = 12

=> 2m + 4 = 12

=> 2m = 12 - 4

=> 2m = 8

=> m = 8 ÷ 2

$\boxed{ \bold{ \: => m = 4 }}$







$\boxed{ \bold{ \underline{Value \: of \: m \: is \: 4}}}$