Question

Can someone help me please​

Answer 1

B and E

Explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

Answer 2

`B. \: {3}^( - 4) \:✅\\ \\ E. \: \: \frac{1}{ {3}^(4) }\:✅`

Step-by-step explanation:

`\frac{ {3}^( - 8) }{ {3}^( - 4) } \\ \\ we \: know \: that \: \: \: \frac{ {a}^(m) }{ {a}^(n) } \: = \: {a}^(m - n) \\ \\= {3}^( - 8 - ( - 4)) \\ \\ = {3}^( - 8 + 4) \: ( \: ∵\: - * - = + ) \\ \\ = {3}^( - 4) \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^(4) } \\ \\( \: ∵\: {a}^( - m) = \frac{1}{ {a}^(m) } \: ) \\\:`

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