Lutasin ang (8/27)^-frac{3{3}}*(25/4)^frac{1{2}}*(4/9)^0+(125/64)^frac{1{3}}

$$( \frac { 8 } { 27 } ) ^ { - \frac { 3 } { 3 } } \times ( \frac { 25 } { 4 } ) ^ { \frac { 1 } { 2 } } \times ( \frac { 4 } { 9 } ) ^ { 0 } + ( \frac { 125 } { 64 } ) ^ { \frac { 1 } { 3 } }$$

I-evaluate

$$\frac{155}{16}=9.6875$$

Mga Hakbang ng Solution

I-divide ang 3 gamit ang 3 para makuha ang 1.

$$\left(\frac{8}{27}\right)^{-1}\times \left(\frac{25}{4}\right)^{\frac{1}{2}}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

Kalkulahin ang \frac{8}{27} sa power ng -1 at kunin ang \frac{27}{8}.

$$\frac{27}{8}\times \left(\frac{25}{4}\right)^{\frac{1}{2}}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

Kalkulahin ang \frac{25}{4} sa power ng \frac{1}{2} at kunin ang \frac{5}{2}.

$$\frac{27}{8}\times \frac{5}{2}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

I-multiply ang \frac{27}{8} at \frac{5}{2} para makuha ang \frac{135}{16}.

$$\frac{135}{16}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

Kalkulahin ang \frac{4}{9} sa power ng 0 at kunin ang 1.

$$\frac{135}{16}\times 1+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

I-multiply ang \frac{135}{16} at 1 para makuha ang \frac{135}{16}.

$$\frac{135}{16}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

Kalkulahin ang \frac{125}{64} sa power ng \frac{1}{3} at kunin ang \frac{5}{4}.

$$\frac{135}{16}+\frac{5}{4}$$

Idagdag ang \frac{135}{16} at \frac{5}{4} para makuha ang \frac{155}{16}.

$$\frac{155}{16}$$

I-factor

$$\frac{5 \cdot 31}{2 ^ {4}} = 9\frac{11}{16} = 9.6875$$