wya407 wya407
  • 10-04-2022
  • Mathematics
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What is the value of the expression (2^4)^2?

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fieryanswererft
fieryanswererft fieryanswererft
  • 10-04-2022

Answer:

  • 256

Explanation:

[tex]\dashrightarrow \sf \left(2^4\right)^2[/tex]

apply exponent rule: [tex]\bold{\left(a^b\right)^c=a^{bc}}[/tex]

[tex]\dashrightarrow \sf 2^{4*2}[/tex]

[tex]\dashrightarrow \sf 2^{8}[/tex]

[tex]\dashrightarrow \sf 256[/tex]

[tex]\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}[/tex]

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