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