Solve left(2xright)^2divx^3

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

Evaluate

$$\frac{4}{x}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 3 times -1.

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

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

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

Add the exponents 2 and -3.

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

Raise 2 to the power 2.

$$4\times \frac{1}{1}\times \frac{1}{x}$$

Expand

$$\frac{4}{x}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 3 times -1.

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

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

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

Add the exponents 2 and -3.

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

Raise 2 to the power 2.

$$4\times \frac{1}{1}\times \frac{1}{x}$$