Lahenda [frac{(-3)^{2}(-4)^{3}7^-1}{3^5*5^2}]^3quadj

$$[ \frac { ( - 3 ) ^ { 2 } ( - 4 ) ^ { 3 } 7 ^ { - 1 } } { 3 ^ { 5 } \cdot 5 ^ { 2 } } ] ^ { 3 } \quad j$$

Arvuta

$$-\frac{262144j}{105488578125}$$

Lahenduse etapid

Arvutage 2 aste -3 ja leidke 9.

$$\left(\frac{9\left(-4\right)^{3}\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage 3 aste -4 ja leidke -64.

$$\left(\frac{9\left(-64\right)\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Korrutage 9 ja -64, et leida -576.

$$\left(\frac{-576\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage -1 aste 7 ja leidke \frac{1}{7}.

$$\left(\frac{-576\times \frac{1}{7}}{3^{5}\times 5^{2}}\right)^{3}j$$

Korrutage -576 ja \frac{1}{7}, et leida -\frac{576}{7}.

$$\left(\frac{-\frac{576}{7}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage 5 aste 3 ja leidke 243.

$$\left(\frac{-\frac{576}{7}}{243\times 5^{2}}\right)^{3}j$$

Arvutage 2 aste 5 ja leidke 25.

$$\left(\frac{-\frac{576}{7}}{243\times 25}\right)^{3}j$$

Korrutage 243 ja 25, et leida 6075.

$$\left(\frac{-\frac{576}{7}}{6075}\right)^{3}j$$

Avaldage \frac{-\frac{576}{7}}{6075} ühe murdarvuna.

$$\left(\frac{-576}{7\times 6075}\right)^{3}j$$

Korrutage 7 ja 6075, et leida 42525.

$$\left(\frac{-576}{42525}\right)^{3}j$$

Taandage murd \frac{-576}{42525} vähimale ühiskordsele, eraldades ja taandades arvu 9.

$$\left(-\frac{64}{4725}\right)^{3}j$$

Arvutage 3 aste -\frac{64}{4725} ja leidke -\frac{262144}{105488578125}.

$$-\frac{262144}{105488578125}j$$

Laienda

$$-\frac{262144j}{105488578125}$$

Lahenduse etapid

Arvutage 2 aste -3 ja leidke 9.

$$\left(\frac{9\left(-4\right)^{3}\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage 3 aste -4 ja leidke -64.

$$\left(\frac{9\left(-64\right)\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Korrutage 9 ja -64, et leida -576.

$$\left(\frac{-576\times 7^{-1}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage -1 aste 7 ja leidke \frac{1}{7}.

$$\left(\frac{-576\times \frac{1}{7}}{3^{5}\times 5^{2}}\right)^{3}j$$

Korrutage -576 ja \frac{1}{7}, et leida -\frac{576}{7}.

$$\left(\frac{-\frac{576}{7}}{3^{5}\times 5^{2}}\right)^{3}j$$

Arvutage 5 aste 3 ja leidke 243.

$$\left(\frac{-\frac{576}{7}}{243\times 5^{2}}\right)^{3}j$$

Arvutage 2 aste 5 ja leidke 25.

$$\left(\frac{-\frac{576}{7}}{243\times 25}\right)^{3}j$$

Korrutage 243 ja 25, et leida 6075.

$$\left(\frac{-\frac{576}{7}}{6075}\right)^{3}j$$

Avaldage \frac{-\frac{576}{7}}{6075} ühe murdarvuna.

$$\left(\frac{-576}{7\times 6075}\right)^{3}j$$

Korrutage 7 ja 6075, et leida 42525.

$$\left(\frac{-576}{42525}\right)^{3}j$$

Taandage murd \frac{-576}{42525} vähimale ühiskordsele, eraldades ja taandades arvu 9.

$$\left(-\frac{64}{4725}\right)^{3}j$$

Arvutage 3 aste -\frac{64}{4725} ja leidke -\frac{262144}{105488578125}.

$$-\frac{262144}{105488578125}j$$