Solve 4^9*-frac{1}4^5

$$4 ^ { 9 } \cdot - \frac { 1 } { 4 } ^ { 5 }$$

Evaluate

$$-256$$

Solution Steps

Calculate 4 to the power of 9 and get 262144.

$$262144\left(-\left(\frac{1}{4}\right)^{5}\right)$$

Calculate \frac{1}{4} to the power of 5 and get \frac{1}{1024}.

$$262144\left(-\frac{1}{1024}\right)$$

Express 262144\left(-\frac{1}{1024}\right) as a single fraction.

$$\frac{262144\left(-1\right)}{1024}$$

Multiply 262144 and -1 to get -262144.

$$\frac{-262144}{1024}$$

Divide -262144 by 1024 to get -256.

$$-256$$

Factor

$$-256$$