Question

1 - Encontre o produto

Answer 1

Resposta:$\sqrt[15]{10^8}$

Explicação passo-a-passo:

$\sqrt[3]{10} . \sqrt[5]{10} = 10^\frac{1}{3} . 10^\frac{1}{5} = 10^x$

x=1/3 + 1/5

x=5/15 + 3/15

x=8/15

$10^\frac{8}{15} = \sqrt[15]{10^8}$

ou

$\sqrt[3]{10} = \sqrt[3.5]{10^5} = \sqrt[15]{10^5}\\\\ \sqrt[5]{10} = \sqrt[5.3]{10^3} = \sqrt[15]{10^3}$

$\sqrt[15]{10^3} . \sqrt[15]{10^5} = \sqrt[15]{10^8}$