Question

Simplify :- ³√4× ³√16

Answer 1

Answer:

2² or 4

Step-by-step explanation:

Multiply both the cube roots

³√4X³√16 = ³√64

³√(2)⁶

According to identity (a⁴)-²= (a⁴/²)= a²

So 6will get divided by 3

2²

Answer 2

The correct answer is 4.

Given: The equation = ³√4× ³√16.

To Find: Simplify the equation.

Solution:

³√4× ³√16

= $\sqrt[3]{2^{2} }*\sqrt[3]{2^{4} }$

= $2^{\frac{2}{3} } *2^{\frac{4}{3} }$

As the bases are same so the powers can be added.

= $2^{\frac{2}{3}+\frac{4}{3} }$

= $2^{\frac{6}{3} }$

= $2^{2}$

= 4

Hence, the answer is 4.

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