Solve 75/15frac{a^{-11}*b^{-16}*c^{-22}bc^2}{a^-12b^-15c^-20a}

$$\frac { 75 } { 15 } \frac { a ^ { - 11 } \cdot b ^ { - 16 } \cdot c ^ { - 22 } b c ^ { 2 } } { a ^ { - 12 } b ^ { - 15 } c ^ { - 20 } a }$$

Evaluate

$$5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -16 and 1 to get -15.

$$\frac{75}{15}\times \frac{a^{-11}b^{-15}c^{-22}c^{2}}{a^{-12}b^{-15}c^{-20}a}$$

To multiply powers of the same base, add their exponents. Add -22 and 2 to get -20.

$$\frac{75}{15}\times \frac{a^{-11}b^{-15}c^{-20}}{a^{-12}b^{-15}c^{-20}a}$$

To multiply powers of the same base, add their exponents. Add -12 and 1 to get -11.

$$\frac{75}{15}\times \frac{a^{-11}b^{-15}c^{-20}}{a^{-11}b^{-15}c^{-20}}$$

Divide a^{-11}b^{-15}c^{-20} by a^{-11}b^{-15}c^{-20} to get 1.

$$\frac{75}{15}\times 1$$

Divide 75 by 15 to get 5.

$$5\times 1$$

Multiply 5 and 1 to get 5.

$$5$$

Factor

$$5$$