Solve (-p)^8*(-p^2)^2

$$( - p ) ^ { 8 } \cdot ( - p ^ { 2 } ) ^ { 2 }$$

Evaluate

$$p^{12}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-p^{1}\right)^{8}\left(-p^{2}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(p^{1}\right)^{8}\left(p^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$p^{8}p^{2\times 2}$$

Multiply 2 times 2.

$$p^{8}p^{4}$$

To multiply powers of the same base, add their exponents.

$$p^{8+4}$$

Add the exponents 8 and 4.

$$p^{12}$$

Expand

$$p^{12}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-p^{1}\right)^{8}\left(-p^{2}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(p^{1}\right)^{8}\left(p^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$p^{8}p^{2\times 2}$$

Multiply 2 times 2.

$$p^{8}p^{4}$$

To multiply powers of the same base, add their exponents.

$$p^{8+4}$$

Add the exponents 8 and 4.

$$p^{12}$$