Solve frac{(-5)^{8}(-5)^{9}(-5)^10(-5)^3}{(-5)^6(-5)(-5)^4}

$$\frac { ( - 5 ) ^ { 8 } ( - 5 ) ^ { 9 } ( - 5 ) ^ { 10 } ( - 5 ) ^ { 3 } } { ( - 5 ) ^ { 6 } ( - 5 ) ( - 5 ) ^ { 4 } }$$

Evaluate

$$-19073486328125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 9 to get 17.

$$\frac{\left(-5\right)^{17}\left(-5\right)^{10}\left(-5\right)^{3}}{\left(-5\right)^{6}\left(-5\right)\left(-5\right)^{4}}$$

To multiply powers of the same base, add their exponents. Add 17 and 10 to get 27.

$$\frac{\left(-5\right)^{27}\left(-5\right)^{3}}{\left(-5\right)^{6}\left(-5\right)\left(-5\right)^{4}}$$

To multiply powers of the same base, add their exponents. Add 27 and 3 to get 30.

$$\frac{\left(-5\right)^{30}}{\left(-5\right)^{6}\left(-5\right)\left(-5\right)^{4}}$$

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$\frac{\left(-5\right)^{30}}{\left(-5\right)^{7}\left(-5\right)^{4}}$$

To multiply powers of the same base, add their exponents. Add 7 and 4 to get 11.

$$\frac{\left(-5\right)^{30}}{\left(-5\right)^{11}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 11 from 30 to get 19.

$$\left(-5\right)^{19}$$

Calculate -5 to the power of 19 and get -19073486328125.

$$-19073486328125$$

Factor

$$-19073486328125$$