Solve 3^5*8^4*(-1/2)^7

$$3 ^ { 5 } \cdot 8 ^ { 4 } \times ( - \frac { 1 } { 2 } ) ^ { 7 }$$

Evaluate

$$-7776$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$243\times 8^{4}\left(-\frac{1}{2}\right)^{7}$$

Calculate 8 to the power of 4 and get 4096.

$$243\times 4096\left(-\frac{1}{2}\right)^{7}$$

Multiply 243 and 4096 to get 995328.

$$995328\left(-\frac{1}{2}\right)^{7}$$

Calculate -\frac{1}{2} to the power of 7 and get -\frac{1}{128}.

$$995328\left(-\frac{1}{128}\right)$$

Express 995328\left(-\frac{1}{128}\right) as a single fraction.

$$\frac{995328\left(-1\right)}{128}$$

Multiply 995328 and -1 to get -995328.

$$\frac{-995328}{128}$$

Divide -995328 by 128 to get -7776.

$$-7776$$

Factor

$$-7776$$