Question

Which expression is equivalent to

Answer 1

Answer: 9 a^8 b^12 c^16

Step-by-step explanation:

4√81/16a^8b^12c^16

= 4 x 9/4a^8b^12c^16

= 9a^8b^12c^16

Answer 2

Answer:

Step-by-step explanation:

$\sqrt[4]{\frac{81}{16}a^{8}b^{12}c^{16}}=\sqrt[4]{\frac{3*3*3*3}{2*2*2*2}a^{2*4}b^{3*4}c^{4*4}}\\\\ =\sqrt[4]{\frac{3^{4}}{2^{4}}(a^{2})^{4}(b^{3})^{4}(c^{4})^{4}}\\\\=\frac{3}{2}a^{2}b^{3}c^{4}$