Question

Find the missing exponent. Explain 5^11/5^?=5^4

Answer 1

? = 7

Explanation:

`\text{We know:}\ (a^n)/(a^m)=a^(n-m).\\\\(5^(11))/(5^(?))=5^4\\\\5^(11-?)=5^4\to?=7\ \text{because}\ 11-7=4`

Answer 2

The missing exponent is 5^7

Explanation:

5^11/5^?=5^4

1. Subtract the exponents from each other.

11-4=7

2. Plug 7 in as the exponent.

5^11/5^7

3. 11-7=4 therefore, 5^11/5^7 equals 5^4.