Question

Which expression is equivalent to √2/^3√2

Answer 1

ANSWER

${2}^{ \frac{1}{6} }$

EXPLANATION

We want to find the expression that is equivalent to,

$\frac{ \sqrt{2} }{ \sqrt[3]{2} }$

This is the same as:

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }$

Use the following property of indices

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

This implies that,

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } } = {2}^{ \frac{1}{2} - \frac{1}{3} }$

Simplify to obtain,

${2}^{ \frac{3 - 2}{6} } = {2}^{ \frac{1}{6} }$

Answer 2

Answer:

6√2

Step-by-step explanation:

Just did it