Solve (a^2)^4(-a)^3

$$( a ^ { 2 } ) ^ { 4 } ( - a ) ^ { 3 }$$

Evaluate

$$-a^{11}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(a^{2}\right)^{4}\left(-a^{1}\right)^{3}$$

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

$$1^{4}\left(a^{2}\right)^{4}\left(-1\right)\left(a^{1}\right)^{3}$$

Use the Commutative Property of Multiplication.

$$1^{4}\left(-1\right)\left(a^{2}\right)^{4}\left(a^{1}\right)^{3}$$

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

$$1^{4}\left(-1\right)a^{2\times 4}a^{3}$$

Multiply 2 times 4.

$$1^{4}\left(-1\right)a^{8}a^{3}$$

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

$$1^{4}\left(-1\right)a^{8+3}$$

Add the exponents 8 and 3.

$$1^{4}\left(-1\right)a^{11}$$

Raise -1 to the power 3.

$$-a^{11}$$

Expand

$$-a^{11}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(a^{2}\right)^{4}\left(-a^{1}\right)^{3}$$

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

$$1^{4}\left(a^{2}\right)^{4}\left(-1\right)\left(a^{1}\right)^{3}$$

Use the Commutative Property of Multiplication.

$$1^{4}\left(-1\right)\left(a^{2}\right)^{4}\left(a^{1}\right)^{3}$$

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

$$1^{4}\left(-1\right)a^{2\times 4}a^{3}$$

Multiply 2 times 4.

$$1^{4}\left(-1\right)a^{8}a^{3}$$

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

$$1^{4}\left(-1\right)a^{8+3}$$

Add the exponents 8 and 3.

$$1^{4}\left(-1\right)a^{11}$$

Raise -1 to the power 3.

$$-a^{11}$$