k35organize k35organize
  • 14-04-2024
  • Mathematics
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b) (3a^0.5)(512a^30 b^-76)^1/4

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devkrishsth19
devkrishsth19 devkrishsth19
  • 14-04-2024

To simplify the expression

(3a0.5)(512�30�−76)1/4(3a0.5)(512a30b−76)1/4,

let's first deal with the terms inside the parentheses.

512�30�−76512a30b−76 can be broken down into 512�30512a

Now, apply the rules of exponents:

(512�30�−76)1/4=(5121/4�30⋅14�−76⋅14)(512a30b−76)1/4=(5121/4a30⋅41

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