Question

Write the expression in radical form. (1pt)

Answer 1

$\\ \rm\dashrightarrow x^{\frac{2}{7}}$

$\\ \rm\dashrightarrow x^{2(1/7)}$

$\\ \rm\dashrightarrow \sqrt[7]{x^2}$

And

$\\ \rm\dashrightarrow \sqrt[3]{2y}$

$\\ \rm\dashrightarrow 2y^{\frac{1}{3}}$

Answer 2

Answer:

see below

Step-by-step explanation:

Problem-1:

${x}^{ \frac{2}{7} }$

remember that,

$\displaystyle {x}^{ \frac{a}{b} } = \sqrt[b]{ {x}^{a} }$

here,

• a=2
• b=7

hence,

${x}^{ \frac{2}{7} } = \boxed{\sqrt[7]{ {x}^{2} } }$

Problem-2:

recall that,

$\sqrt[n]{x} = {x}^{ \frac{1}{n} }$

therefore,

$\sqrt[3]{2y} = (2y {)}^{ \frac{1}{3} } \implies \boxed{{2 }^{ \frac{1}{3} } {y}^{ \frac{1}{3} } }$