Question

Calculati
(1 supra 2 totul la puterea 5 ) × (1 supra 2 totul la puterea 3) : (1 supra 6 totul la puterea 6 )

Answer 1

   
[tex]\displaystyle\\ \left(\frac{1}{2}\right)^5 \times \left(\frac{1}{2}\right)^3 : \left(\frac{1}{6}\right)^3=\\\\ =\left(\frac{1}{2}\right)^{5+3} : \left(\frac{1}{6}\right)^3=\\\\ =\left(\frac{1}{2}\right)^{8} : \left(\frac{1}{6}\right)^3=\\\\ =\frac{1}{2^8}:\frac{1}{6^3}=\\\\ =\frac{1}{2^8} \times \frac{6^3}{1}=\\\\ =\frac{6^3}{2^8}=\frac{2^3 \times 3^3}{2^8}=\frac{2^{3-3} \times 3^3}{2^{8-3}}=\boxed{\bf \frac{3^3}{2^5}}[/tex]