Question

What is ∛2197? Explain how you got your answer.

Answer 1

Answer:

13

Step-by-step explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is $13^{3}$. This will go inside of your cube root. You now have $\sqrt[3]{13^{3} }$. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.

Answer 2

Answer:

$\boxed{13}$

Step-by-step explanation:

=> $\sqrt[3]{2197}$

Factorizing 2197 gives 13 * 13 * 13

=> $\sqrt[3]{13*13*13}$

=> $\sqrt[3]{13^3}$

We know that $\sqrt[3]{} = ^{1/3}$

=> $13^{3 * 1/3}$

=> $13^1$

=> 13