Solve (-7/2)^3*8^5*(4/7)^3

$$( - \frac { 7 } { 2 } ) ^ { 3 } \times 8 ^ { 5 } \times ( \frac { 4 } { 7 } ) ^ { 3 }$$

Evaluate

$$-262144$$

Solution Steps

Calculate -\frac{7}{2} to the power of 3 and get -\frac{343}{8}.

$$-\frac{343}{8}\times 8^{5}\times \left(\frac{4}{7}\right)^{3}$$

Calculate 8 to the power of 5 and get 32768.

$$-\frac{343}{8}\times 32768\times \left(\frac{4}{7}\right)^{3}$$

Express -\frac{343}{8}\times 32768 as a single fraction.

$$\frac{-343\times 32768}{8}\times \left(\frac{4}{7}\right)^{3}$$

Multiply -343 and 32768 to get -11239424.

$$\frac{-11239424}{8}\times \left(\frac{4}{7}\right)^{3}$$

Divide -11239424 by 8 to get -1404928.

$$-1404928\times \left(\frac{4}{7}\right)^{3}$$

Calculate \frac{4}{7} to the power of 3 and get \frac{64}{343}.

$$-1404928\times \frac{64}{343}$$

Express -1404928\times \frac{64}{343} as a single fraction.

$$\frac{-1404928\times 64}{343}$$

Multiply -1404928 and 64 to get -89915392.

$$\frac{-89915392}{343}$$

Divide -89915392 by 343 to get -262144.

$$-262144$$

Factor

$$-262144$$