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\left(\frac{\frac{1}{b}a^{4}}{b}\right)^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\left(\frac{a^{4}}{b^{2}}\right)^{2}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{\left(a^{4}\right)^{2}}{\left(b^{2}\right)^{2}}
To raise \frac{a^{4}}{b^{2}} to a power, raise both numerator and denominator to the power and then divide.
\frac{a^{8}}{\left(b^{2}\right)^{2}}
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.
\frac{a^{8}}{b^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\left(\frac{\frac{1}{b}a^{4}}{b}\right)^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\left(\frac{a^{4}}{b^{2}}\right)^{2}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{\left(a^{4}\right)^{2}}{\left(b^{2}\right)^{2}}
To raise \frac{a^{4}}{b^{2}} to a power, raise both numerator and denominator to the power and then divide.
\frac{a^{8}}{\left(b^{2}\right)^{2}}
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.
\frac{a^{8}}{b^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.