Solve xleft(2x^2right)^3

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

Evaluate

$$8x^{7}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 2 times 3.

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

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

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

Add the exponents 1 and 6.

$$1^{1}\times 2^{3}x^{7}$$

Raise 2 to the power 3.

$$8x^{7}$$

Expand

$$8x^{7}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 2 times 3.

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

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

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

Add the exponents 1 and 6.

$$1^{1}\times 2^{3}x^{7}$$

Raise 2 to the power 3.

$$8x^{7}$$