Question

simplify 4ki power 3/2 2power 1/5 upon 8 ki power 1/2​

Answer 1

Answer:

answer = 4

Step-by-step explanation:

$\frac{ {4}^{ \frac{3}{2} } \times {2}^{ \frac{1}{2} } }{ {8}^{ \frac{1}{2} } } \\ = \frac{ { ({2}^{2} )}^{ \frac{3}{2} } \times {2}^{ \frac{1}{2} } }{ { ({2}^{3}) }^{ \frac{1}{2} } } \\ = \frac{ {2}^{3} \times {2}^{ \frac{1}{2} } }{ {2}^{ \frac{3}{2} } } \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \times {2}^{ - \frac{3}{2} } \\ = {2}^{3 + \frac{1}{2} - \frac{3}{2} } \\ = {2}^{ \frac{6 + 1 - 3}{2} } \\ = {2}^{ \frac{4}{2} } \\ = {2}^{2} \\ = 4$

hope you get your answer