Solve -left(-Pright)^3P^3left(-Pright)^2

$$- { \left(-P \right) }^{ 3 } { P }^{ 3 } { \left(-P \right) }^{ 2 }$$

Evaluate

$$P^{8}$$

Solution Steps

Calculate -P to the power of 2 and get P^{2}.

$$\left(-\left(-P\right)^{3}\right)P^{3}P^{2}$$

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

$$\left(-\left(-P\right)^{3}\right)P^{5}$$

Expand \left(-P\right)^{3}.

$$-\left(-1\right)^{3}P^{3}P^{5}$$

Calculate -1 to the power of 3 and get -1.

$$-\left(-1\right)P^{3}P^{5}$$

Multiply -1 and -1 to get 1.

$$P^{3}P^{5}$$

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

$$P^{8}$$

Expand

$$P^{8}$$

Solution Steps

Calculate -P to the power of 2 and get P^{2}.

$$\left(-\left(-P\right)^{3}\right)P^{3}P^{2}$$

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

$$\left(-\left(-P\right)^{3}\right)P^{5}$$

Expand \left(-P\right)^{3}.

$$-\left(-1\right)^{3}P^{3}P^{5}$$

Calculate -1 to the power of 3 and get -1.

$$-\left(-1\right)P^{3}P^{5}$$

Multiply -1 and -1 to get 1.

$$P^{3}P^{5}$$

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

$$P^{8}$$