Whakaoti i te (64x^3div27a^-3)^-frac{2{3}}=?

$$( 64 x ^ { 3 } \div 27 a ^ { - 3 } ) ^ { - \frac { 2 } { 3 } } = ?$$

Aromātai

$$\frac{9\times \left(\frac{a}{x}\right)^{2}}{16}$$

Ngā Upane Otinga

Tuhia te \frac{64x^{3}}{27}a^{-3} hei hautanga kotahi.

$$\left(\frac{64x^{3}a^{-3}}{27}\right)^{-\frac{2}{3}}$$

Kia whakarewa i te \frac{64x^{3}a^{-3}}{27} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(64x^{3}a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$

Whakarohaina te \left(64x^{3}a^{-3}\right)^{-\frac{2}{3}}.

$$\frac{64^{-\frac{2}{3}}\left(x^{3}\right)^{-\frac{2}{3}}\left(a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -\frac{2}{3} kia riro ai te -2.

$$\frac{64^{-\frac{2}{3}}x^{-2}\left(a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -3 me te -\frac{2}{3} kia riro ai te 2.

$$\frac{64^{-\frac{2}{3}}x^{-2}a^{2}}{27^{-\frac{2}{3}}}$$

Tātaihia te 64 mā te pū o -\frac{2}{3}, kia riro ko \frac{1}{16}.

$$\frac{\frac{1}{16}x^{-2}a^{2}}{27^{-\frac{2}{3}}}$$

Tātaihia te 27 mā te pū o -\frac{2}{3}, kia riro ko \frac{1}{9}.

$$\frac{\frac{1}{16}x^{-2}a^{2}}{\frac{1}{9}}$$

Whakawehe \frac{1}{16}x^{-2}a^{2} ki te \frac{1}{9} mā te whakarea \frac{1}{16}x^{-2}a^{2} ki te tau huripoki o \frac{1}{9}.

$$\frac{1}{16}x^{-2}a^{2}\times 9$$

Whakareatia te \frac{1}{16} ki te 9, ka \frac{9}{16}.

$$\frac{9}{16}x^{-2}a^{2}$$

Kimi Pārōnaki e ai ki x

$$-\frac{9a^{2}}{8x^{3}}$$