Solve left(2xright)^2/x^2

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

Evaluate

$$4$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 2 times -1.

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

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

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

Add the exponents 2 and -2.

$$2^{2}\times \frac{1}{1}x^{0}$$

Raise 2 to the power 2.

$$4\times \frac{1}{1}x^{0}$$

For any term t except 0, t^{0}=1.

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

For any term t, t\times 1=t and 1t=t.

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

Factor

$$2^{2}$$