Solve (-4/9)*(-4/9)*(-4/9)*(-4/9)

$$( \frac { - 4 } { 9 } ) \times ( \frac { - 4 } { 9 } ) \times ( \frac { - 4 } { 9 } ) \times ( \frac { - 4 } { 9 } )$$

Evaluate

$$\frac{256}{6561}\approx 0.039018442$$

Solution Steps

Multiply \frac{-4}{9} and \frac{-4}{9} to get \left(\frac{-4}{9}\right)^{2}.

$$\left(\frac{-4}{9}\right)^{2}\times \frac{-4}{9}\times \frac{-4}{9}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\left(\frac{-4}{9}\right)^{3}\times \frac{-4}{9}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\left(\frac{-4}{9}\right)^{4}$$

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$\left(-\frac{4}{9}\right)^{4}$$

Calculate -\frac{4}{9} to the power of 4 and get \frac{256}{6561}.

$$\frac{256}{6561}$$

Factor

$$\frac{2 ^ {8}}{3 ^ {8}} = 0.03901844231062338$$