Question

Вычислите
5^14 x 5^14 : 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