Question

Which expression is equivalent to

Answer 1

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

Explanation:

4√81/16a^8b^12c^16

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

= 9a^8b^12c^16

Answer 2

Explanation:

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