Question

What is the simplified form of √10,000x64 ?

Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32​

Answer 1

Explanation:

5000x^8

Answer 2

9514 1404 393

Answer:

(d) 100x^32

Explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

√a = a^(1/2)

__

Then ...

`\displaystyle\sqrt{10000x^(64)}=(10^4\cdot x^(64))^{(1)/(2)}=10^{(4)/(2)}\cdot x^{(64)/(2)}=10^2\cdot x^(32)\\\\=\boxed{100x^(32)}`