Solve (-3)^2(-3)^3/(-3)^8

$$\frac { ( - 3 ) ^ { 2 } ( - 3 ) ^ { 3 } } { ( - 3 ) ^ { 8 } }$$

Evaluate

$$-\frac{1}{27}\approx -0.037037037$$

Solution Steps

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

$$\frac{\left(-3\right)^{5}}{\left(-3\right)^{8}}$$

Rewrite \left(-3\right)^{8} as \left(-3\right)^{5}\left(-3\right)^{3}. Cancel out \left(-3\right)^{5} in both numerator and denominator.

$$\frac{1}{\left(-3\right)^{3}}$$

Calculate -3 to the power of 3 and get -27.

$$\frac{1}{-27}$$

Fraction \frac{1}{-27} can be rewritten as -\frac{1}{27} by extracting the negative sign.

$$-\frac{1}{27}$$

Factor

$$-\frac{1}{27} = -0.037037037037037035$$