Question

Simplify$(\frac{16}{81}x^{16}\right))^{\frac{1}{2}}$

Answer 1

The answer is = 4x^8/9

Answer 2

Answer:

$\sf \dfrac{4}{9}x^8$

Step-by-step explanation:

Law of exponents:

       $\sf (a*b)^m = a^m *b^m\\\\(a^m)^n =a^{m*n}$

  16 = 4 *4 = 4²

 81  = 9 *9 = 9²

$\sf\left (\dfrac{16}{81}x^{16}\right)^{\frac{1}{2}}= \left(\dfrac{4^2}{9^2}x^{16}\right)^{\frac{1}{2}}$

                $\sf =\dfrac{4^{2*\frac{1}{2}}}{9^{2*\frac{1}{2}}}*x^{16*\frac{1}{2}}\\\\=\dfrac{4}{9}x^8$