Question

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

Answer 1

9514 1404 393

Answer:

  (d)  100x^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  √a = a^(1/2)

__

Then ...

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

Answer 2

Answer:

100 x ³²

Step-by-step explanation:

√10000 x⁶⁴

( 100 ⁴ × x ⁶⁴) ½

$\small \sf 10 {}^{ \frac{4}{2}} \times x {}^{ \frac{64}{2}}$

10² × x ³²

100 x ³²