Applying the Quotient Rule of Exponents, what is the exponent in an equivalent form of (5/6)^10÷(5/6)^3

Question

? Answer with a whole number for the exponent.(1 point)

Answer 1

To apply the Quotient Rule of Exponents, which states that \( a^m \div a^n = a^{m-n} \), we can set \( a = \frac{5}{6} \), \( m = 10 \), and \( n = 3 \).

Using the rule, we have:

\[ \left( \frac{5}{6} \right)^{10} \div \left( \frac{5}{6} \right)^{3} = \left( \frac{5}{6} \right)^{10-3} = \left( \frac{5}{6} \right)^{7} \]

The exponent in the equivalent form is \( 7 \).

So the answer is \( \boxed{7} \).