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Aleksandr [31]
3 years ago
8

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

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0

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

Dima020 [189]3 years ago
3 0

ANSWER

C. 36

EXPLANATION

The given expression is

{6}^{7}  \div  {6}^{5}

Recall that,

{a}^{m}   \div  {a}^{n}  =  {a}^{ m - n}

We apply this property to get,

{6}^{7}\div  {6}^{5}  =  {6}^{7 - 5}

This will give us,

{6}^{7}\div  {6}^{5}  =  {6}^{2}

{6}^{7}\div  {6}^{5}= 36

The correct choice is C.

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