Solve (0.125)^12*(-12/3)^7*(-8)^13*(-3/5)^9

$$( 0.125 ) ^ { 12 } \times ( - 1 \frac { 2 } { 3 } ) ^ { 7 } \times ( - 8 ) ^ { 13 } \times ( - \frac { 3 } { 5 } ) ^ { 9 }$$

Evaluate

$$-2.88$$

Solution Steps

Calculate 0.125 to the power of 12 and get 0.000000000014551915228366851806640625.

$$0.000000000014551915228366851806640625\left(-\frac{1\times 3+2}{3}\right)^{7}\left(-8\right)^{13}\left(-\frac{3}{5}\right)^{9}$$

Multiply 1 and 3 to get 3.

$$0.000000000014551915228366851806640625\left(-\frac{3+2}{3}\right)^{7}\left(-8\right)^{13}\left(-\frac{3}{5}\right)^{9}$$

Add 3 and 2 to get 5.

$$0.000000000014551915228366851806640625\left(-\frac{5}{3}\right)^{7}\left(-8\right)^{13}\left(-\frac{3}{5}\right)^{9}$$

Calculate -\frac{5}{3} to the power of 7 and get -\frac{78125}{2187}.

$$0.000000000014551915228366851806640625\left(-\frac{78125}{2187}\right)\left(-8\right)^{13}\left(-\frac{3}{5}\right)^{9}$$

Multiply 0.000000000014551915228366851806640625 and -\frac{78125}{2187} to get -\frac{78125}{150289495621632}.

$$-\frac{78125}{150289495621632}\left(-8\right)^{13}\left(-\frac{3}{5}\right)^{9}$$

Calculate -8 to the power of 13 and get -549755813888.

$$-\frac{78125}{150289495621632}\left(-549755813888\right)\left(-\frac{3}{5}\right)^{9}$$

Multiply -\frac{78125}{150289495621632} and -549755813888 to get \frac{625000}{2187}.

$$\frac{625000}{2187}\left(-\frac{3}{5}\right)^{9}$$

Calculate -\frac{3}{5} to the power of 9 and get -\frac{19683}{1953125}.

$$\frac{625000}{2187}\left(-\frac{19683}{1953125}\right)$$

Multiply \frac{625000}{2187} and -\frac{19683}{1953125} to get -\frac{72}{25}.

$$-\frac{72}{25}$$

Factor

$$-2.88$$