Question

What is the simplified form of √10,000x^64?

a. 5,000x^32

b. 5,000x^8

c. 100x^8

d. 100x^32

Answer 1

c. 100x^8 because the square root or 10k is 100 and 64 is 8

Answer 2

d. 100x^32

Explanation:

First of all, you can separate de root into √10000*√x^64.

Now, we have to simplify 10000 into 100^2; so if you have √100^2 you can simplify to 100^(2/2) = 100, thats why the root index is the numerator of the exponent.

By last, we do the same process with √x^64 = x^(64/2) = x^32.

If we unite both simplifications, we finally get 100x^32 (option d).