Solve (-3/4)^4*(16/7)^2=

$$( \frac { - 3 } { 4 } ) ^ { 4 } \times ( \frac { 16 } { 7 } ) ^ { 2 } =$$

Evaluate

$$\frac{81}{49}\approx 1.653061224$$

Solution Steps

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\left(-\frac{3}{4}\right)^{4}\times \left(\frac{16}{7}\right)^{2}$$

Calculate -\frac{3}{4} to the power of 4 and get \frac{81}{256}.

$$\frac{81}{256}\times \left(\frac{16}{7}\right)^{2}$$

Calculate \frac{16}{7} to the power of 2 and get \frac{256}{49}.

$$\frac{81}{256}\times \frac{256}{49}$$

Multiply \frac{81}{256} and \frac{256}{49} to get \frac{81}{49}.

$$\frac{81}{49}$$

Factor

$$\frac{3 ^ {4}}{7 ^ {2}} = 1\frac{32}{49} = 1.653061224489796$$