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((100^(12))(10^(4)))/(10^(2))=...

`((100^(12))(10^(4)))/(10^(2))=`

A

`10^(8)`

B

`10^(14)`

C

`10^(24)`

D

`10^(26)`

Text Solution

Verified by Experts

The correct Answer is:
D
Put the whole thing in terms of a power of 10. `(100)^(12)=(10^(2))^(12)=10^(24)`. Therefore,
`((100)^(12)(10)^(4))/((10)^(2))=((10^(24))(10^(4)))/(10^(2))`
`=(10^(28))/(10^(2))=10^(28-2)=10^(26)`
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