Question

simplify and write in exponential form ​

Answer 1

Answer:

Ans(i)

${( - 5)}^{ - 2} \times {( - 5)}^{3} \\ \\ = {( - 5)}^{ - 2 + 3} \: \: \: \: \: \: ( {a}^{m} \times {a}^{n } = {a}^{m + n} )$

$= {( - 5)}^{1} = - 5$

Ans(ii)

${( \frac{1}{2} )}^{3} \times {( \frac{1}{2} )}^{2}$

${( \frac{1}{2} )}^{3 + 2} \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )$

${( \frac{1}{2} )}^{5} = \frac{ {1}^{5} }{ {2}^{5 } } \\ \: \: \: \: \: \: \: = \frac {1}{32}$