Question

Multiply and simplify if possible.
4^√11 * 4^√10

a. 11 ^4√10
b. 11
c. 10
d. 4^√110

Answer 1

You could use the following rule: \[\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}\]

Answer 2

It means: the product of two alike n-th roots is the n-th root of the product, so\[\sqrt[4]{11} \cdot \sqrt[4]{10}=\sqrt[4]{11 \cdot 10}=...\]
I'm pretty sure, you can see the right answer now!