Question

value of (256)power 0.16× (256) power 0.009​

Answer 1

${256}^{0.16} \times {256}^{0.009}$

Using,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

$= {256}^{0.16 + 0.009} \\ = {256}^{0.169} \\ = {256}^{ \frac{169}{1000} } \\ = { ({2}^{8} )}^{ \frac{169}{1000} } \\ = {2}^{ \frac{169}{125} } \\ = \sqrt[125]{ {2}^{169} } \\ = \sqrt[125]{ {2}^{125} \times {2}^{44} } \\ = 2 \sqrt[125]{ {2}^{44} }$

Im Sorry. I will never do this again. Please Forgive me.