Lahenda (-5)^{4}*(-5)^{3}:(-5^{2})^{3}-(-16)^{2}:(-2^6)-(-3)^12:(-3^5)^2=

$$( - 5 ) ^ { 4 } \cdot ( - 5 ) ^ { 3 } : ( - 5 ^ { 2 } ) ^ { 3 } - ( - 16 ) ^ { 2 } : ( - 2 ^ { 6 } ) - ( - 3 ) ^ { 12 } : ( - 3 ^ { 5 } ) ^ { 2 } =$$

Arvuta

$$0$$

Lahenduse etapid

Sama alusega astmete korrutamiseks liitke astendajad. Liitke 4 ja 3, et saada 7.

$$\frac{\left(-5\right)^{7}}{\left(-5^{2}\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 7 aste -5 ja leidke -78125.

$$\frac{-78125}{\left(-5^{2}\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 2 aste 5 ja leidke 25.

$$\frac{-78125}{\left(-25\right)^{3}}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 3 aste -25 ja leidke -15625.

$$\frac{-78125}{-15625}-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Jagage -78125 väärtusega -15625, et leida 5.

$$5-\frac{\left(-16\right)^{2}}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 2 aste -16 ja leidke 256.

$$5-\frac{256}{-2^{6}}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 6 aste 2 ja leidke 64.

$$5-\frac{256}{-64}-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Jagage 256 väärtusega -64, et leida -4.

$$5-\left(-4\right)-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvu -4 vastand on 4.

$$5+4-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Liitke 5 ja 4, et leida 9.

$$9-\frac{\left(-3\right)^{12}}{\left(-3^{5}\right)^{2}}$$

Arvutage 12 aste -3 ja leidke 531441.

$$9-\frac{531441}{\left(-3^{5}\right)^{2}}$$

Arvutage 5 aste 3 ja leidke 243.

$$9-\frac{531441}{\left(-243\right)^{2}}$$

Arvutage 2 aste -243 ja leidke 59049.

$$9-\frac{531441}{59049}$$

Jagage 531441 väärtusega 59049, et leida 9.

$$9-9$$

Lahutage 9 väärtusest 9, et leida 0.

$$0$$

Lahuta teguriteks

$$0$$