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Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd

User Javran
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2 Answers

1 vote

Answer: The answer is A.

Step-by-step explanation:

User Supermasher
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3 votes
Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd.
answer:
A.
( 2^5 / 3^2 )^4
= 2^20
3^8

= 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2
3 . 3 . 3 . 3 . 3 . 3 . 3 . 3
=
1,048, 576
6561
B.
2^9
3^8
= 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2
3 . 3 . 3 . 3 . 3 . 3 . 3 . 3

= 512
6561

C.
8^5

12^2

8 . 8 . 8 . 8 . 8
12 . 12

= 32, 768 ÷ 16
144 16

= 2,048
9
D.
2
3^2
= 2
3 . 3
= 2
9




User Mfisherca
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7.5k points