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Răspuns :

Explicație pas cu pas:

[tex] \frac{x}{ \sqrt{0.25} } = \frac{1000}{ {0.5}^{ - 2} } \\ \frac{x}{0.5} = \frac{1000}{( \frac{5}{10}) {}^{ - 2} } \\ \frac{x}{0.5} = \frac{1000}{ (\frac{10}{5} ) {}^{2} } \\ \frac{x}{0.5} = \frac{1000}{ \frac{100}{25} } \\ \frac{x}{0.5} = \frac{1000}{4} = > x = \frac{0.5 \times 1000}{4} = \frac{500}{4} = 125 = {5}^{3} [/tex]

Succes!

[tex]\dfrac{x}{\sqrt{0,25} } = \dfrac{1000}{0,5^{-2}} \implies \dfrac{x}{\sqrt{\dfrac{25}{100} } } = \dfrac{1000}{\bigg(\dfrac{5}{10}\bigg)^{-2} } \implies \dfrac{x}{\sqrt{\dfrac{1}{4} } } = \dfrac{1000}{\bigg(\dfrac{1}{2}\bigg)^{-2} }[/tex]

[tex]\dfrac{x}{\sqrt{\dfrac{1}{2^2} } } = \dfrac{1000}{2^2} \implies \dfrac{x}{\dfrac{1}{2}} = \dfrac{1000}{4} \implies 2x = 250 \implies x = \dfrac{250}{2} \implies x = 125[/tex]

Atunci:

[tex]x^3 = 125^3 = (5^3)^3 = \bf5^9[/tex]

Dacă ai nevoie de un rezultat numeric:

x³ = 1 953 125