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\left(\frac{x^{3}}{y^{1}}\right)^{2}
Use the rules of exponents to simplify the expression.
\frac{\left(x^{3}\right)^{2}}{\left(y^{1}\right)^{2}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{x^{3\times 2}}{y^{2}}
To raise a power to another power, multiply the exponents.
\frac{x^{6}}{y^{2}}
Multiply 3 times 2.
\left(x^{3}\times \frac{1}{y}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(x^{3}\right)^{2}\times \left(\frac{1}{y}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
x^{3\times 2}y^{-2}
To raise a power to another power, multiply the exponents.
x^{6}y^{-2}
Multiply 3 times 2.
x^{6}\times \frac{1}{y^{2}}
Multiply -1 times 2.
\left(\frac{x^{3}}{y^{1}}\right)^{2}
Use the rules of exponents to simplify the expression.
\frac{\left(x^{3}\right)^{2}}{\left(y^{1}\right)^{2}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{x^{3\times 2}}{y^{2}}
To raise a power to another power, multiply the exponents.
\frac{x^{6}}{y^{2}}
Multiply 3 times 2.
\left(x^{3}\times \frac{1}{y}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(x^{3}\right)^{2}\times \left(\frac{1}{y}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
x^{3\times 2}y^{-2}
To raise a power to another power, multiply the exponents.
x^{6}y^{-2}
Multiply 3 times 2.
x^{6}\times \frac{1}{y^{2}}
Multiply -1 times 2.