vereinfachen 5((5^3)/(2/5))^2

Lösung

vereinfachen

5 (\frac{5 ^{3}}{\frac{2}{5}})^{2}

\frac{1953125}{4}

Dezimale

488281.25

Schritte zur Lösung

5 (\frac{5 ^{3}}{\frac{2}{5}})^{2}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{5 ^{3}}{\frac{2}{5}})^{2} = \frac{( 5 ^{3} ) ^{2}}{( \frac{2}{5} ) ^{2}}

= 5 \cdot \frac{( 5 ^{3} ) ^{2}}{( \frac{2}{5} ) ^{2}}

(5^{3})^{2} = 15625

= 5 \cdot \frac{15625}{( \frac{2}{5} ) ^{2}}

(\frac{2}{5})^{2} = \frac{4}{25}

= 5 \cdot \frac{15625}{\frac{4}{25}}

\frac{15625}{\frac{4}{25}} = \frac{390625}{4}

= 5 \cdot \frac{390625}{4}

5 \cdot \frac{390625}{4} = \frac{1953125}{4}

= \frac{1953125}{4}

\frac{c}{3} - 2 = 2

20 + 5 x = 9 x + 20

- \frac{3}{4} (- 4) - 1

\frac{x}{3} + 6 = - 5

4 x^{2} - 36 x + 77 = 0