Answer:
The correct answer is second option
4a²b²c²∛b)
Step-by-step explanation:
It is given an expression, ∛(64a⁶b⁷c⁹)
Points to remember
Identities
ⁿ√x = x¹/ⁿ
To find the equivalent expression
We have, ∛(64a⁶b⁷c⁹)
∛(64a⁶b⁷c⁹) = (64a⁶b⁷c⁹)1/3
= (4³/³ a⁶/³ b⁷/³ c⁹/³) [Since 64 = 4³]
= 4a² b² b¹/³ c³
= 4a²b²c³(b¹/³)
= 4a²b²c³ (∛b)
Therefore the correct answer is second option
4a²b²c³(∛b)
