Find the value of x in each of the following: \sqrt[3]{27} = \: x \sqrt[3]{x} = (1)/(4) \sqrt[3]{ (1)/(512) } = \: x \sqrt[3]{x} = 11 Please explain how you got your answer(s), …

Question

Find the value of x in each of the following:


`\sqrt[3]{27} = \: x`


`\sqrt[3]{x} = (1)/(4)`


`\sqrt[3]{ (1)/(512) } = \: x`


`\sqrt[3]{x} = 11`

Please explain how you got your answer(s), thanks!

Answer 1

the first one: x is 3 because 3 x 3 x 3 is 27
the second one: x is 1/64 because the denominator, 4, to the power of 3 is 64. Anything rad 1 will always be 1, ∛64 is 4.
the third one: x is 1/8 because 8 x 8 x 8 which is the same thing as 8^3 is 512.
∛1/512 (1 divided or multiplied by 1 is always going to be 1)
the fourth one: x is 1331, I know this because I did, 11 x 11 x 11 to get 1331.
Let me know if this doesn't make sense