Which of these equations is correct?

a. (2^(2))^(4)=2^(6)
b. (3^(5))^(-2)=(1)/(3^(-10))
c. (5^(-3))^(6)=(1)/(5^(18))
d. (8^(3))^(2)=8^(9)

AAAaannndd the bot gets it wrong yet again!

(8^(3))^(2)=8^(6)
on the other hand,
c. (5^(-3))^(6)=(1)/(5^(18))
is true

Apologies for the mistake. Thank you for the correction!

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d. (8^(3))^(2)=8^(9)