Solve (2x^-1)^13

$$( 2 x ^ { - 1 } ) ^ { 13 }$$

Evaluate

$$\frac{8192}{x^{13}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(2\times \frac{1}{x}\right)^{13}$$

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

$$2^{13}\times \left(\frac{1}{x}\right)^{13}$$

Raise 2 to the power 13.

$$8192\times \left(\frac{1}{x}\right)^{13}$$

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

$$8192x^{-13}$$

Multiply -1 times 13.

$$8192\times \frac{1}{x^{13}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{2}{x^{1}}\right)^{13}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{2^{13}}{\left(x^{1}\right)^{13}}$$

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

$$\frac{8192}{x^{13}}$$

Expand

$$\frac{8192}{x^{13}}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(2\times \frac{1}{x}\right)^{13}$$

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

$$2^{13}\times \left(\frac{1}{x}\right)^{13}$$

Raise 2 to the power 13.

$$8192\times \left(\frac{1}{x}\right)^{13}$$

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

$$8192x^{-13}$$

Multiply -1 times 13.

$$8192\times \frac{1}{x^{13}}$$

Steps for Raising Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{2}{x^{1}}\right)^{13}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{2^{13}}{\left(x^{1}\right)^{13}}$$

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

$$\frac{8192}{x^{13}}$$