hitunglah (25√5)^-2/5

[tex] {(25 \sqrt{5} })^{ - \frac{2}{5} } = \frac{1}{( {25 \sqrt{5} })^{ \frac{2}{5} } } = \frac{1}{ { {((5}^{2} )( {5}^{ \frac{1}{2} } ))}^{ \frac{2}{5} } } = \frac{1}{ {( {5}^{ \frac{5}{2} } )}^{ \frac{2}{5} } } = \frac{1}{5} [/tex]

(25√5)^ - 2/5
= ((5)^2 × (5)^1/2)^ - 2/5
= (5^2 + 1/2)^ - 2/5
= (5^4/2 + 1/2)^ - 2/5
= (5^5/2)^ - 2/5
= 5^5/2 × (- 2/5)
= 5^ - 10/10
= 5^ - 1
= 1/5^1
= 1/5

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