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raf^{2}=\frac{\frac{3}{7}\times \left(\frac{3}{7}\right)^{2}\times \left(\frac{3}{7}\right)^{3}}{\left(\frac{3}{7}\right)^{2}}
Multiply f and f to get f^{2}.
raf^{2}=\frac{\left(\frac{3}{7}\right)^{3}\times \left(\frac{3}{7}\right)^{3}}{\left(\frac{3}{7}\right)^{2}}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
raf^{2}=\frac{\left(\frac{3}{7}\right)^{6}}{\left(\frac{3}{7}\right)^{2}}
To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.
raf^{2}=\left(\frac{3}{7}\right)^{4}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 6 to get 4.
raf^{2}=\frac{81}{2401}
Calculate \frac{3}{7} to the power of 4 and get \frac{81}{2401}.
rf^{2}a=\frac{81}{2401}
The equation is in standard form.
\frac{rf^{2}a}{rf^{2}}=\frac{\frac{81}{2401}}{rf^{2}}
Divide both sides by rf^{2}.
a=\frac{\frac{81}{2401}}{rf^{2}}
Dividing by rf^{2} undoes the multiplication by rf^{2}.
a=\frac{81}{2401rf^{2}}
Divide \frac{81}{2401} by rf^{2}.