Question

Radicals and Exponents pre-test

Answer 1

`(8\cdot 320)^{(1)/(3)}\implies (2^3\cdot 320)^{(1)/(3)}\implies \left(2^3\cdot 2^6 \cdot 5 \right)^{(1)/(3)}\implies \left(2^(3+6) \cdot 5 \right)^{(1)/(3)} \\\\\\ \left(2^9 \cdot 5 \right)^{(1)/(3)}\implies 2^{9\cdot (1)/(3)}\cdot 5^{(1)/(3)}\implies 2^3\cdot 5^{(1)/(3)}\implies 8\sqrt[3]{5^1}\implies 8\sqrt[3]{5}`