Question

Найдите значение выражения.
√5²·2⁶

Answer 1

$sqrt{5^2cdot 2^6}=sqrt{5^2cdot 2^{3cdot2}}= sqrt{5^2cdot (2^3)^2}=sqrt{(5cdot2^3)^2}=sqrt{(5cdot8)^2}= \ =sqrt{40^2}=40$

Answer 2

$sqrt{5^{2}*2^{6}}=sqrt{5^{2}*(2^{3})^{2}}=5*2^{3}=5*8=40$