Solve (pk)^2p^3k^4

$$( p k ) ^ { 2 } p ^ { 3 } k ^ { 4 }$$

Evaluate

$$p^{5}k^{6}$$

Solution Steps

Expand \left(pk\right)^{2}.

$$p^{2}k^{2}p^{3}k^{4}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$p^{5}k^{2}k^{4}$$

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

$$p^{5}k^{6}$$

Expand

$$p^{5}k^{6}$$

Solution Steps

Expand \left(pk\right)^{2}.

$$p^{2}k^{2}p^{3}k^{4}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$p^{5}k^{2}k^{4}$$

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

$$p^{5}k^{6}$$