[tex]{ \red{ \bold{option \: (d)}}} \: { \green{ \tt{ {2}^{8p} = {2}^{5p + 3}}}} [/tex]
Step-by-step explanation:
I said option (d) is correct. Because, the answer of 2^8 is 256 i.e.,
[tex]{ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}}[/tex]
[tex]{ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{256}}}[/tex]
The value of 16^2 = 256.
Also, the answer of 2^5 is 32. i.e.,
[tex]{ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2}}}[/tex]
[tex]{ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{32}}}[/tex]