Write each expression in exponential forms \sqrt[3]{x^2}

Question

Write each expression in exponential forms

`\sqrt[3]{x^2}`

Answer 1

x^2/3

Explanation:

The ∛cube root is written with exponent 1/3 so:

∛(x^2)

= (x^2 )^1/3

= x^2/3.

Answer 2

x^(2/3)

Explanation:

∛x^2

Formula : -

∛n = n^(1/3) ( in exponential form )

Here,

n = x^2

∛x^2 = (x^2)^(1/3)

Formula : -

(a^x)^(y) = a^xy

Here,

a = x

x = 2

y = 1/3

∛x^2 = x^(2 * 1/3) = x^(2/3)

Hence, expressed in exponential form.