Solve (4i^3jk^2)(-ij^3k^4)

$$( 4 i ^ { 3 } j k ^ { 2 } ) ( - i j ^ { 3 } k ^ { 4 } )$$

Evaluate

$$-4j^{4}k^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$4i^{3}j^{4}k^{2}\left(-i\right)k^{4}$$

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

$$4i^{3}j^{4}k^{6}\left(-i\right)$$

Calculate i to the power of 3 and get -i.

$$4\left(-i\right)j^{4}k^{6}\left(-i\right)$$

Multiply 4 and -i to get -4i.

$$-4ij^{4}k^{6}\left(-i\right)$$

Multiply -4i and -i to get -4.

$$-4j^{4}k^{6}$$