Solve [(-x^3)]^2*(x^2)^3

$$[ ( - x ^ { 3 } ) ] ^ { 2 } \times ( x ^ { 2 } ) ^ { 3 }$$

Evaluate

$$x^{12}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

$$\left(x^{3}\right)^{2}\times 1^{3}\left(x^{2}\right)^{3}$$

Use the Commutative Property of Multiplication.

$$1^{3}\left(x^{3}\right)^{2}\left(x^{2}\right)^{3}$$

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

$$1^{3}x^{3\times 2}x^{2\times 3}$$

Multiply 3 times 2.

$$1^{3}x^{6}x^{2\times 3}$$

Multiply 2 times 3.

$$1^{3}x^{6}x^{6}$$

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

$$1^{3}x^{6+6}$$

Add the exponents 6 and 6.

$$1^{3}x^{12}$$

Expand

$$x^{12}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

$$\left(x^{3}\right)^{2}\times 1^{3}\left(x^{2}\right)^{3}$$

Use the Commutative Property of Multiplication.

$$1^{3}\left(x^{3}\right)^{2}\left(x^{2}\right)^{3}$$

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

$$1^{3}x^{3\times 2}x^{2\times 3}$$

Multiply 3 times 2.

$$1^{3}x^{6}x^{2\times 3}$$

Multiply 2 times 3.

$$1^{3}x^{6}x^{6}$$

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

$$1^{3}x^{6+6}$$

Add the exponents 6 and 6.

$$1^{3}x^{12}$$