Question

$\sqrt[3]{2*3} *\sqrt[3]{2^{2} *5^{2} }$ plz help guys

Answer 1

EXPLANATION:-

$\bold{\sqrt[3]{2*3}}*\sqrt[3]{2^2*5^2}\\\\\bold{\sqrt[3]{6}}*\sqrt[3]{4*25} \\\\\bold{\sqrt[3]{6}}*\sqrt[3]{100} \\\\\sqrt[3]{100*6} \\\\\sqrt[3]{600}\:\:\:\;\;\;\;\;\;\;\bold{required\:answer}$

EXTRA INFORMATION:-

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$