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Plz answer its easy math.

Plz answer its easy math.-example-1

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\text{Use}\\\\(a^n)/(a^m)=a^(n-m)\\\\a^(-n)=(1)/(a^n)\\-----------------------\\\\(3^(-8))/(3^(-4))=3^(-8-(-4))=3^(-8+4)=\underbrace{\boxed{3^(-4)}}_{\boxed{B.}}=\underbrace{\boxed{(1)/(3^4)}}_{\boxed{E.}}\\\\Answer:\ \boxed{B.\ and\ E.}

User Cbender
by
7.6k points
2 votes

Greetings!

Answer:

B and E

Explanation:

The rules of indicies states:


x^(a) ÷
x^(b) =
x^(a-b)

So
3^(-8) ÷
3^(-4) =
3^(-8 - - 4) =
3^(-4)

So that means B is one of the correct answers.

To find the other correct value, you can divide the two fractions as stated in the question:


3^(-8) by
3^(-4) =
(1)/(81)

81 is equivalent to 3⁴

So that means E is also correct.


Hope this helps!


User Lee Dale
by
8.9k points

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