Question

simplify and write the answer in exponential form​

Answer 1

mark me as brilliant plz tum Pas hojaoge Mai duwa karunga m

Answer 2

Answer:

$(i)( {2}^{3} \div {2}^{7} ) \times {2}^{ - 5} = {2}^{ - 9} \\ (ii) \frac{1}{8} \times {3}^{ - 3} = {6}^{ - 3}$

Step-by-step explanation:

$(i)( {2}^{3} \div {2}^{7} ) \times {2}^{ - 5} \\ = {(2)}^{3} \times { (\frac{1}{2} )}^{7} \times {( \frac{1}{2}) }^{5} \\ = 2 \times 2 \times 2 \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ = { (\frac{1}{2} )}^{9} \\ = {2}^{ - 9} \\ (ii) \frac{1}{8} \times {3}^{ - 3} \\ = \frac{1}{8} \times { \frac{1}{3} }^{3} \\ = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \\ = { \frac{1}{2} }^{3} \times { \frac{1}{3} }^{3} \\ = {2}^{ - 3} \times {3}^{ - 3} \\ = {(2 \times 3)}^{ - 3} \\ = {6}^{ - 3}$