Question

Find the value of 2^1/3 ×2^-4/3

Answer 1

Step-by-step explanation:

in multiplication, when base is same the power will add so,

1/3-4/3=-1 so,

-1 is the power of 2 is the required ans.

Answer 2

$\: \: \: \: {2}^{ \frac{1}{3} } \times {2}^{ - \frac{ 4}{3} } \\ = {2}^{ \frac{1}{3} + ( - \frac{4}{3} )} \: \: \: \: \: \: \: \: \: \: \: \: \: \: ... \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} ) \\ = {2}^{ \frac{1}{3} - \frac{4}{3} } \\ = {2}^{ \frac{ - 3}{3} } = {2}^{ - 1} = \frac{1}{ {2}^{1} } \: \: \: \: \: \: \: \: \: ... \: ( {a}^{ - m} = \frac{1}{ {a}^{m} } ) \\ = \frac{1}{2} \\ = 0.5$