Solve (g^{2}h^3)*(-g^7h^5)*(ghi^4)

$$( g ^ { 2 } h ^ { 3 } ) \cdot ( - g ^ { 7 } h ^ { 5 } ) \cdot ( g h i ^ { 4 } )$$

Evaluate

$$-h^{9}g^{10}$$

Solution Steps

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

$$g^{3}h^{3}\left(-g^{7}\right)h^{5}hi^{4}$$

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$g^{3}h^{8}\left(-g^{7}\right)hi^{4}$$

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$g^{3}h^{9}\left(-g^{7}\right)i^{4}$$

Calculate i to the power of 4 and get 1.

$$g^{3}h^{9}\left(-g^{7}\right)\times 1$$

To multiply powers of the same base, add their exponents. Add 3 and 7 to get 10.

$$g^{10}h^{9}\left(-1\right)\times 1$$

Multiply -1 and 1 to get -1.

$$g^{10}h^{9}\left(-1\right)$$