Question

$Sa se calculeze: \\ \sqrt[3]{64* 5^{6 } } \\ 125^{5/3}$

Answer 1

[tex](4^3*(5^2)^3)^{ \frac{1}{3}}=4*25=100\\ (5^3)^{ \frac{5}{3} }=3125[/tex]

Answer 2

$\displaystyle \sqrt[3]{64 \cdot 5^6} = \sqrt[3]{64} \sqrt[3]{5^6} = \sqrt[3]{2^6} \cdot 5^{6 \cdot \frac{1}{3} }=2^2 \cdot 5^2=4 \cdot 25=100 \\ \\ 125^{ \frac{5}{3} }=5^3^{ \frac{5}{3} }= \sqrt[3]{5^3} ^5=5^5=3125$