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\left(2\times \frac{1}{x}\right)^{3}
Use the rules of exponents to simplify the expression.
2^{3}\times \left(\frac{1}{x}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
8\times \left(\frac{1}{x}\right)^{3}
Raise 2 to the power 3.
8x^{-3}
To raise a power to another power, multiply the exponents.
8\times \frac{1}{x^{3}}
Multiply -1 times 3.
\left(\frac{2}{x^{1}}\right)^{3}
Use the rules of exponents to simplify the expression.
\frac{2^{3}}{\left(x^{1}\right)^{3}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{8}{x^{3}}
To raise a power to another power, multiply the exponents.
\left(2\times \frac{1}{x}\right)^{3}
Use the rules of exponents to simplify the expression.
2^{3}\times \left(\frac{1}{x}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
8\times \left(\frac{1}{x}\right)^{3}
Raise 2 to the power 3.
8x^{-3}
To raise a power to another power, multiply the exponents.
8\times \frac{1}{x^{3}}
Multiply -1 times 3.
\left(\frac{2}{x^{1}}\right)^{3}
Use the rules of exponents to simplify the expression.
\frac{2^{3}}{\left(x^{1}\right)^{3}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{8}{x^{3}}
To raise a power to another power, multiply the exponents.