Question

4
find the missing exponent.
\\(\frac{5^{11}}{5^{7}} = 5^{4}\\)
exponent only in the answer box

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we use the rule \( \frac{a^m}{a^n} = a^{m - n} \). Here, the base \( a = 5 \), \( m = 11 \), and \( n = 7 \).

Step2: Apply the rule

Substitute the values into the rule: \( 5^{11 - 7} \). Calculate \( 11 - 7 = 4 \), so we get \( 5^4 \). The missing exponent is the result of \( 11 - 7 \).

Answer:

4