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Scrat [10]
3 years ago
14

(PLEASE HELP)simplify 2 with an exponent of 5 over 3 with an exponent of 2 and the equation has an exponent of 4

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
Assuming you mean this as your problem I hope I can assist you.
( \frac{2^5}{3^2})^4
So just apply the exponent rule to start, which is (a/b)^c = a^c/b^c
This translates to....
\frac{(2^5)^4}{(3^2)^4}
Now apply the exponent rule (a^b)^c = a^bc
Which translates to 3^2 * 4 which is refined to 3^8
So now we have....
\frac{(2^5)^4}{3^8}
Just apply the exponent rule (a^b)^c
So we get 2^5 * 4 which refines to 2^20
Therefore our final answer is 2^20/3^8


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