Question

find x. 2x×8^1/5=2^1/5​

Answer 1

$2x {8}^{ \frac{1}{5} } = {2}^{ \frac{1}{5} } \\ x \times {2}^{1} \times {2 }^{ {3}^{ \frac{1}{5} } } = {2}^{ \frac{1}{5} } \\ x \times {2}^{1} \times {2}^{ \frac{3}{5} } = {2}^{ \frac{1}{5} } \\ x \times {2}^{ \frac{8}{5} } = {2}^{ \frac{1}{5} } \\ x = \frac{ {2}^{ \frac{1}{5} } }{ {2}^{ \frac{8}{5} } } \\ x = {2}^{ \frac{1}{5} } - {2}^{ \frac{8}{5} } \\ x = {2}^{ \frac{1 - 8}{5} } \\ x = {2}^{ \frac{ - 7}{5} } \\ x = \frac{1}{ {2}^{ \frac{7}{5} } }$

Answer 2

The value of x is $\frac{1}{2}(\frac{1}{4})^{1/5}$.

Step-by-step explanation:

The expression is:

$2x\times 8^{1/5}=2^{1/5}$

Solve for x as follows:

$2x\times 8^{1/5}=2^{1/5}$

$2x=(\frac{2}{8})^{1/5}$

$2x=(\frac{1}{4})^{1/5}$

$x=\frac{1}{2}(\frac{1}{4})^{1/5}$

Thus, the value of x is $\frac{1}{2}(\frac{1}{4})^{1/5}$.