How do you fill in the blank for the expression $(a^?)^8=a^24$ ?

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Answer 1 · 2015-10-14T16:33:48

$(a^3)^8 = a^24$

A rule of exponents says that:

$color(blue)((x^m)^n = x^(m*n)$

$(a^x)^8 = a^(8x)$

$a^(8x) = a^24$

Hence $8x = 24$

Dividing both sides by 8, we get

$x = 3$

How do you fill in the blank for the expression (a^?)^8=a^24(a^?)^8=a^24?