Question

pls help me with this...I will mark the proper answer as Brainliest also thanks that and will rate 5... Please help me​

Answer 1

Step-by-step explanation:

Refer to pic.

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:m=3}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies {16}^{m} \div {4}^{ - 2} = {16}^{4} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Value \: of \: m =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies {16}^{m} \div {4}^{ - 2} = {16}^{4} \\ \\ \tt: \implies ({4}^{2} )^{m} \div {4}^{ - 2} = ( {4}^{2} )^{4} \\ \\ \tt: \implies \frac{ {4}^{2m} }{ {4}^{ - 2} } = {4}^{8} \\ \\ \tt: \implies {4}^{2m + 2} = {4}^{8} \\ \\ \text{Both \:side \: bases \: are \: same} \\ \text{So, \: powers \: are \: also \: same} \\ \\ \tt: \implies 2m + 2 = 8 \\ \\ \tt: \implies 2(m + 1) = 8 \\ \\ \tt: \implies m + 1 = \frac{8}{2} \\ \\ \tt: \implies m + 1 = 4 \\ \\ \tt: \implies m = 4 - 1 \\ \\ \green{\tt: \implies m = 3} \\ \\ \green{\tt \therefore Value \: of \: m \: is \: 3}$