Solve (5)(-11/2)^4*(2/3)^4

$$( 5 ) ( - 1 \frac { 1 } { 2 } ) ^ { 4 } \times ( \frac { 2 } { 3 } ) ^ { 4 }$$

Evaluate

$$5$$

Solution Steps

Multiply 1 and 2 to get 2.

$$5\left(-\frac{2+1}{2}\right)^{4}\times \left(\frac{2}{3}\right)^{4}$$

Add 2 and 1 to get 3.

$$5\left(-\frac{3}{2}\right)^{4}\times \left(\frac{2}{3}\right)^{4}$$

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

$$5\times \frac{81}{16}\times \left(\frac{2}{3}\right)^{4}$$

Multiply 5 and \frac{81}{16} to get \frac{405}{16}.

$$\frac{405}{16}\times \left(\frac{2}{3}\right)^{4}$$

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

$$\frac{405}{16}\times \frac{16}{81}$$

Multiply \frac{405}{16} and \frac{16}{81} to get 5.

$$5$$

Factor

$$5$$