AzarionN224357 AzarionN224357
  • 03-11-2022
  • Mathematics
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i need help with this equation please simplify 81^3/4 using a calculator

i need help with this equation please simplify 8134 using a calculator class=

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AddileeK93739 AddileeK93739
  • 03-11-2022

Notice that:

[tex]81=3^4.^{}[/tex]

Recall that the following property of exponents:

[tex](a^b)^e=a^{b\times e}.[/tex]

Therefore:

[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^3.[/tex]

Answer:

[tex]81^{\frac{3}{4}}=27.[/tex]

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