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\frac{\left(5c\right)^{2}}{\left(d^{2}\right)^{2}}
To raise \frac{5c}{d^{2}} to a power, raise both numerator and denominator to the power and then divide.
\frac{\left(5c\right)^{2}}{d^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{5^{2}c^{2}}{d^{4}}
Expand \left(5c\right)^{2}.
\frac{25c^{2}}{d^{4}}
Calculate 5 to the power of 2 and get 25.
\frac{\left(5c\right)^{2}}{\left(d^{2}\right)^{2}}
To raise \frac{5c}{d^{2}} to a power, raise both numerator and denominator to the power and then divide.
\frac{\left(5c\right)^{2}}{d^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{5^{2}c^{2}}{d^{4}}
Expand \left(5c\right)^{2}.
\frac{25c^{2}}{d^{4}}
Calculate 5 to the power of 2 and get 25.