lisaac496
lisaac496 lisaac496
  • 17-04-2021
  • Mathematics
contestada

Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?​

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Hrishii
Hrishii Hrishii
  • 17-04-2021

Answer:

[tex] {3}^{81}[/tex] is bigger.

Step-by-step explanation:

[tex] {9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54} \\ [/tex]

If we compare the exponents of [tex] {3}^{54}[/tex] and [tex] {3}^{81}[/tex] it can be concluded that:

[tex] {3}^{81}[/tex] > [tex] {3}^{54}[/tex]

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