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\left(\frac{1}{3}a^{5}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(\frac{1}{3}\right)^{2}\left(a^{5}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{1}{9}\left(a^{5}\right)^{2}
Raise \frac{1}{3} to the power 2.
\frac{1}{9}a^{5\times 2}
To raise a power to another power, multiply the exponents.
\frac{1}{9}a^{10}
Multiply 5 times 2.
\left(\frac{1}{3}a^{5}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(\frac{1}{3}\right)^{2}\left(a^{5}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{1}{9}\left(a^{5}\right)^{2}
Raise \frac{1}{3} to the power 2.
\frac{1}{9}a^{5\times 2}
To raise a power to another power, multiply the exponents.
\frac{1}{9}a^{10}
Multiply 5 times 2.