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How would I work this out in my head, without a calculator??

How would I work this out in my head, without a calculator??-example-1
User Huygn
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243^{(4)/(5)}=\sqrt[5]{243^4}=\sqrt[5]{(3^5)^4}=\sqrt[5]{(3^4)^5}=3^4=81
User Holger Stitz
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