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.