Question

Вычислите
5^1\4 x 5^1\4 : 5^2

Answer 1

$5^ \frac{1}{4} \times 5^\frac{1}{4} : 5^2 = {5}^{ \frac{1}{4} + \frac{1}{4} - 2} = \\ = {5}^{ - \frac{3}{2} } = \frac{1}{5 \sqrt{5} } = \frac{ \sqrt{5} }{25}$

Answer 2

5^1/4*5^1/4/5^2

=5^1/4+1/4-8/4=5^-3/2

=1/5^3/2=1/√5³

=1/5√5=√5/25