Question

quanto que é essa conta?
√5²·(√3)⁴

Answer 1

$\sqrt{5^2}\cdot \left(\sqrt{3}\right)^4\\5^{\frac{2}{2}}\cdot \left(3^{\frac{1}{2}}\right)^4\\5^{\frac{2}{2}}\cdot 3^{\frac{1}{2}\cdot 4}^{ }\\5^{\frac{2}{2}}\cdot 3^{\frac{4}{2}}^{\:}\\5^{\frac{2}{2}}\cdot 3^2^{\:}\\5^1\cdot 3^2^{\:}\\5\cdot 9^{\:}\\\boxed{\bold{45}}$