Question

what is
$\sqrt[3]{32.768?}$
​

Answer 1

32768 = 1024 × 32 = 2¹⁰ × 2⁵ = 2¹⁵

$\sqrt[3]{2^{15}}=2^{15\times\frac13}=2^5=32\\\\\sqrt[3]{32.768}=\sqrt[3]{32768}\times\sqrt[3]{0.001}=32\times0.1=3.2\\\\3.2^3=32.768$

Answer:  3.2