(a) \( 3^{7} \times 3^{6} \)

Did you know that when you multiply numbers with the same base, you simply add the exponents? So, in this case, \(3^7 \times 3^6\) simplifies to \(3^{7+6}\), which equals \(3^{13}\). A quick calculation gives you \(3^{13} = 1594323\) – quite a big number! If you find yourself confused about exponents, remember that multiplying different bases requires a bit more finesse compared to the same base. A common mistake is to multiply the bases before adding the exponents, such as thinking \(3 \times 3 = 9\), then incorrectly combining that with the exponents. Just stick to adding the exponents for the same base!