Solve (-8g^{6}m^6)(-10g^3)(3g^4m^-4)

$$( - 8 g ^ { 6 } m ^ { 6 } ) ( - 10 g ^ { 3 } ) ( 3 g ^ { 4 } m ^ { - 4 } )$$

Evaluate

$$240m^{2}g^{13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$-8g^{9}m^{6}\left(-10\right)\times 3g^{4}m^{-4}$$

To multiply powers of the same base, add their exponents. Add 9 and 4 to get 13.

$$-8g^{13}m^{6}\left(-10\right)\times 3m^{-4}$$

To multiply powers of the same base, add their exponents. Add 6 and -4 to get 2.

$$-8g^{13}m^{2}\left(-10\right)\times 3$$

Multiply -8 and -10 to get 80.

$$80g^{13}m^{2}\times 3$$

Multiply 80 and 3 to get 240.

$$240g^{13}m^{2}$$

Differentiate w.r.t. g

$$3120m^{2}g^{12}$$