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

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

Evaluate

$$4x^{4}$$

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.

$$2^{2}\times \frac{1}{1}x^{4}$$

Raise 2 to the power 2.

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

Expand

$$4x^{4}$$

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.

$$2^{2}\times \frac{1}{1}x^{4}$$

Raise 2 to the power 2.

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