Question

Write the expression in radical form. (1pt)

x 2/7

Write the expression in exponential form.

∛2y

Please show steps I'm so lost

Answer 1

see below

Explanation:

Problem-1:

`{x}^{ (2)/(7) }`

remember that,

`\displaystyle {x}^{ (a)/(b) } = \sqrt[b]{ {x}^(a) }`

here,

• a=2
• b=7

hence,

`{x}^{ (2)/(7) } = \boxed{\sqrt[7]{ {x}^(2) } }`

Problem-2:

recall that,

`\sqrt[n]{x} = {x}^{ (1)/(n) }`

therefore,

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

Answer 2

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

`\\ \rm\dashrightarrow x^(2(1/7))`

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

And

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

`\\ \rm\dashrightarrow 2y^{(1)/(3)}`