Solve 18((-1/3)^5-1)

$$18 ( ( - \frac { 1 } { 3 } ) ^ { 5 } - 1 )$$

Evaluate

$$-\frac{488}{27}\approx -18.074074074$$

Solution Steps

Calculate -\frac{1}{3} to the power of 5 and get -\frac{1}{243}.

$$18\left(-\frac{1}{243}-1\right)$$

Convert 1 to fraction \frac{243}{243}.

$$18\left(-\frac{1}{243}-\frac{243}{243}\right)$$

Since -\frac{1}{243} and \frac{243}{243} have the same denominator, subtract them by subtracting their numerators.

$$18\times \frac{-1-243}{243}$$

Subtract 243 from -1 to get -244.

$$18\left(-\frac{244}{243}\right)$$

Express 18\left(-\frac{244}{243}\right) as a single fraction.

$$\frac{18\left(-244\right)}{243}$$

Multiply 18 and -244 to get -4392.

$$\frac{-4392}{243}$$

Reduce the fraction \frac{-4392}{243} to lowest terms by extracting and canceling out 9.

$$-\frac{488}{27}$$

Factor

$$-\frac{488}{27} = -18\frac{2}{27} = -18.074074074074073$$