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\left(\frac{a^{3}}{b^{2}}\right)^{5}
Use the rules of exponents to simplify the expression.
\frac{\left(a^{3}\right)^{5}}{\left(b^{2}\right)^{5}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{a^{3\times 5}}{b^{2\times 5}}
To raise a power to another power, multiply the exponents.
\frac{a^{15}}{b^{2\times 5}}
Multiply 3 times 5.
\frac{a^{15}}{b^{10}}
Multiply 2 times 5.
\left(\frac{a^{3}}{b^{2}}\right)^{5}
Use the rules of exponents to simplify the expression.
\frac{\left(a^{3}\right)^{5}}{\left(b^{2}\right)^{5}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{a^{3\times 5}}{b^{2\times 5}}
To raise a power to another power, multiply the exponents.
\frac{a^{15}}{b^{2\times 5}}
Multiply 3 times 5.
\frac{a^{15}}{b^{10}}
Multiply 2 times 5.