Solve (dx)^2/dx

$$\frac { ( d x ) ^ { 2 } } { d x }$$

Evaluate

$$dx$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

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

$$d^{2-1}x^{2-1}$$

Add the exponents 2 and -1.

$$d^{1}x^{2-1}$$

Add the exponents 2 and -1.

$$d^{1}x^{1}$$

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

$$dx$$

Expand

$$dx$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

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

$$d^{2-1}x^{2-1}$$

Add the exponents 2 and -1.

$$d^{1}x^{2-1}$$

Add the exponents 2 and -1.

$$d^{1}x^{1}$$

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

$$dx$$