Calculate the Expression: (5/6)^10 - Evaluating Powers of Fractions

Because $\left(\frac{5}{6}\right)^{10}$ means multiplying the entire fraction by itself 10 times. Each time you multiply, both the top and bottom numbers get multiplied, so the exponent affects both!

No difference at all! These are just two ways to write the same expression. The second form is more compact, while the first form shows the work clearly.

You can! First calculate $5^{10} = 9,765,625$ and $6^{10} = 60,466,176$, then divide. But for most problems, leaving it as $\frac{5^{10}}{6^{10}}$ is the preferred answer.

Absolutely! $\left(\frac{a}{b}\right)^{-n} = \frac{a^{-n}}{b^{-n}} = \frac{b^n}{a^n}$. The exponent still applies to both numerator and denominator, just like with positive exponents.

Think of it as: "Whatever happens to the fraction, happens to both parts." If you're raising to the 10th power, both the 5 and the 6 get raised to the 10th power!