Question

Simplify this expression. 6^7 ÷ 6^5 A. 30 B. 35 C. 36 D. 42

Answer 1

C. 36

EXPLANATION

The given expression is

`{6}^(7) / {6}^(5)`

Recall that,

`{a}^(m) / {a}^(n) = {a}^( m - n)`

We apply this property to get,

`{6}^(7)/ {6}^(5) = {6}^(7 - 5)`

This will give us,

`{6}^(7)/ {6}^(5) = {6}^(2)`

`{6}^(7)/ {6}^(5)= 36`

The correct choice is C.

Answer 2

C 36

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