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

Insert the corresponding expression:

$\left(\frac{5}{6}\right)^{10}=$

We need to use the properties of exponents to rewrite the expression $\left(\frac{5}{6}\right)^{10}$.

According to the rule of powers for fractions, when a fraction is raised to a power, both the numerator and the denominator must be raised to that power:

• $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$

Therefore, applying this rule to our expression:

$\left(\frac{5}{6}\right)^{10} = \frac{5^{10}}{6^{10}}$

Thus, we have correctly rewritten the given expression using exponent rules.

The corresponding expression for $\left(\frac{5}{6}\right)^{10}$ is $\frac{5^{10}}{6^{10}}$.