Question

Which equation is equivalent to 162 - 32+³?

Answer 1

${ \red{ \bold{option \: (d)}}} \: { \green{ \tt{ {2}^{8p} = {2}^{5p + 3}}}}$

Step-by-step explanation:

I said option (d) is correct. Because, the answer of 2^8 is 256 i.e.,

${ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}}$

${ \green{ \bold{ {2}^{8} }}} = { \green{ \tt{256}}}$

The value of 16^2 = 256.

Also, the answer of 2^5 is 32. i.e.,

${ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{2 \times 2 \times 2 \times 2 \times 2}}}$

${ \green{ \bold{ {2}^{5} }}} = { \green{ \tt{32}}}$