Question

How would you simplify this? Please help

Answer 1

$8^{\frac{4}{3}} = \sqrt[3]{8^4} = \sqrt[3]{(2^3)^4} = \sqrt[3]{2^{3*4}} = 2^4 = 16$

Answer: C (16).

$2\sqrt{6} - 6\sqrt{54} = 2\sqrt{6} - 2 * 3 * \sqrt{6} * \sqrt{9} = 2\sqrt{6}(1-3\sqrt{9}) = 2\sqrt{6}(1-3*3) = 2\sqrt{6}(1-9)=2*\sqrt{6}*(-8) = -16\sqrt{6}$

Answer 2

1.

$\sqrt[3]{8^{4} }$

2.

$2 \sqrt{6} - 6 \sqrt{54} \\ 2 \sqrt{6} - 6 \sqrt{9 \times 6} \\ 2 \sqrt{6} - 18 \sqrt{6} \\ - 16 \sqrt{6}$