Question

Find the value of m, if
(1/4)^2m × (1/4)^m = (1/4)^6​

Answer 1

m = 2

Explanation:

`{ \bigg( (1)/(4) \bigg)}^(2m) * { \bigg( (1)/(4) \bigg)}^(m) = { \bigg( (1)/(4) \bigg)}^(6) \\ \\ { \bigg( (1)/(4) \bigg)}^(2m + m) = { \bigg( (1)/(4) \bigg)}^(6) \\ \\ { \bigg( (1)/(4) \bigg)}^(3m) = { \bigg( (1)/(4) \bigg)}^(6) \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies3m = 6 \\ \\ \implies \: m = (6)/(3) \\ \\ \huge \red{ \boxed{\implies \: m = 2 }}\\`