Question

What expression is equivalent to

Answer 1

Answer:

Option (2)

Step-by-step 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.