Question

Which expression is equivalent to 24^1/4

Answer 1

Step-by-step explanation:

24^(1/3)

=(8*3)^(1/3)

=(8)^(1/3)*(3)^(1/3)

=(2^3)^(1/3)*3^(1/3)

=2*(3)^(1/3)

or
`2\sqrt[3]{3}`

Answer 2

`2\sqrt[3]{3}`

Step-by-step explanation:

`\rightarrow \sf 24^{(1)/(3)}`

`\rightarrow \sf \sqrt[3]{24}`

`\rightarrow \sf \sqrt[3]{2*2*2*3}`

`\sf \rightarrow \left(2^3\cdot \:3\right)^{(1)/(3)}`

`\sf \rightarrow 2\cdot \:3^{(1)/(3)}`

`\sf \rightarrow 2\sqrt[3]{3}`