Question

What expression is equivalent to

Answer 1

Option (2)

Explanation:

Given expression is
`\sqrt[3]{64a^6b^7c^9}`

By simplifying this expression,

`\sqrt[3]{64a^6b^7c^9}=\sqrt[3]{(4)^3(a^2)^3(b^2)^3(b)(c^3)^3}`

`=(4a^2b^2c^3)\sqrt[3]{b}`

Option (1)

`2abc^2\sqrt[3]{4a^2b^3c}` =
`2ab^2c^2\sqrt[3]{a^2c}`

Option (2)

`4a^2b^2c^3(\sqrt[3]{b})` [Fully simplified form]

Option (3)

`8a^3b^3c^4(\sqrt[3]{bc} )` [Fully simplified form]

Option (4)

`8a^2b^2c^3(\sqrt[3]{b})`

Expression given in Option (2) is equivalent to the given expression.

Option (2) will be the answer.