Respuesta :
Answer:
C 36
Step-by-step explanation:
When we have to exponents to the same base, and we are dividing them, we can subtract the exponents
a^b ÷ a^c = a^ (b-c)
6^7 ÷ 6^5 = 6^(7-5)
= 6^(2)
= 36
ANSWER
C. 36
EXPLANATION
The given expression is
[tex] {6}^{7} \div {6}^{5} [/tex]
Recall that,
[tex] {a}^{m} \div {a}^{n} = {a}^{ m - n} [/tex]
We apply this property to get,
[tex] {6}^{7}\div {6}^{5} = {6}^{7 - 5} [/tex]
This will give us,
[tex] {6}^{7}\div {6}^{5} = {6}^{2} [/tex]
[tex] {6}^{7}\div {6}^{5}= 36[/tex]
The correct choice is C.