Solve (1/2)^23^-25/(1)^-5-22

$$\frac { ( \frac { 1 } { 2 } ) ^ { 2 } 3 ^ { - 25 } } { ( 1 ) ^ { - 5 } - 22 }$$

Evaluate

$$-\frac{1}{71172243193212}\approx -1.405042128 \cdot 10^{-14}$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{\frac{1}{4}\times 3^{-25}}{1^{-5}-22}$$

Calculate 3 to the power of -25 and get \frac{1}{847288609443}.

$$\frac{\frac{1}{4}\times \frac{1}{847288609443}}{1^{-5}-22}$$

Multiply \frac{1}{4} and \frac{1}{847288609443} to get \frac{1}{3389154437772}.

$$\frac{\frac{1}{3389154437772}}{1^{-5}-22}$$

Calculate 1 to the power of -5 and get 1.

$$\frac{\frac{1}{3389154437772}}{1-22}$$

Subtract 22 from 1 to get -21.

$$\frac{\frac{1}{3389154437772}}{-21}$$

Express \frac{\frac{1}{3389154437772}}{-21} as a single fraction.

$$\frac{1}{3389154437772\left(-21\right)}$$

Multiply 3389154437772 and -21 to get -71172243193212.

$$\frac{1}{-71172243193212}$$

Fraction \frac{1}{-71172243193212} can be rewritten as -\frac{1}{71172243193212} by extracting the negative sign.

$$-\frac{1}{71172243193212}$$

Factor

$$-\frac{1}{71172243193212} = -1.4050421275683134 \times 10^{-14}$$