22 learning target: i can generate equivalent expressions using the properties of exponents. (1…

22 learning target: i can generate equivalent expressions using the properties of exponents. (1 point)\n\nfind the missing exponent. $\\frac{5^{11}}{5^{?}} = 5^{4}$ exponent only in the answer box

22 learning target: i can generate equivalent expressions using the properties of exponents. (1 point)\n\nfind the missing exponent. $\\frac{5^{11}}{5^{?}} = 5^{4}$ exponent only in the answer box

Answer

Explanation:

Step1: Identify the quotient rule for exponents

$$\frac{a^{m}}{a^{n}} = a^{m-n}$$

Step2: Apply the rule to the given expression

$$\frac{5^{11}}{5^{7}} = 5^{11-7}$$

Step3: Calculate the difference in the exponent

$$11 - 7 = 4$$

Step4: Determine the missing exponent value

$$5^{4}$$

Answer:

4