Solve (-11/2)^4*(-11/3)^3=

$$( - 1 \frac { 1 } { 2 } ) ^ { 4 } \times ( - 1 \frac { 1 } { 3 } ) ^ { 3 } =$$

Evaluate

$$-12$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\left(-\frac{2+1}{2}\right)^{4}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Add 2 and 1 to get 3.

$$\left(-\frac{3}{2}\right)^{4}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Calculate -\frac{3}{2} to the power of 4 and get \frac{81}{16}.

$$\frac{81}{16}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Multiply 1 and 3 to get 3.

$$\frac{81}{16}\left(-\frac{3+1}{3}\right)^{3}$$

Add 3 and 1 to get 4.

$$\frac{81}{16}\left(-\frac{4}{3}\right)^{3}$$

Calculate -\frac{4}{3} to the power of 3 and get -\frac{64}{27}.

$$\frac{81}{16}\left(-\frac{64}{27}\right)$$

Multiply \frac{81}{16} and -\frac{64}{27} to get -12.

$$-12$$

Factor

$$-12$$