Solve 1/2^-22^-3-4^5

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

Evaluate

$$-\frac{32}{32767}\approx -0.000976592$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -3 to get -5.

$$\frac{1}{2^{-5}-4^{5}}$$

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{1}{\frac{1}{32}-4^{5}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{1}{\frac{1}{32}-1024}$$

Subtract 1024 from \frac{1}{32} to get -\frac{32767}{32}.

$$\frac{1}{-\frac{32767}{32}}$$

Divide 1 by -\frac{32767}{32} by multiplying 1 by the reciprocal of -\frac{32767}{32}.

$$1\left(-\frac{32}{32767}\right)$$

Multiply 1 and -\frac{32}{32767} to get -\frac{32}{32767}.

$$-\frac{32}{32767}$$

Factor

$$-\frac{32}{32767} = -0.0009765923032319102$$