Solve -3-3^2-3^3div-3^2-3^3

$$-3 { -3 }^{ 2 } { -3 }^{ 3 } \div { -3 }^{ 2 } { -3 }^{ 3 }$$

Evaluate

$$-2187$$

Solution Steps

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

$$\frac{\left(-3\right)^{3}\left(-3\right)^{3}}{\left(-3\right)^{2}}\left(-3\right)^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{\left(-3\right)^{6}}{\left(-3\right)^{2}}\left(-3\right)^{3}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 6 to get 4.

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

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\left(-3\right)^{7}$$

Calculate -3 to the power of 7 and get -2187.

$$-2187$$

Factor

$$-2187$$