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3 years ago

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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