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#