How do you simplify (5^8)^3?

1 Answer
KillerBunny
Sep 25, 2015

It's 5^24

Explanation:

Dealing with powers of powers is really simple: you only need to multiply the exponents. Namely, (a^b)^c=a^{bc}.

This is a consequence of the fact that a^b * a^c = a^{b+c}: take your case as an example.

By definition, (5^8)^3 means 5^8 * 5^8 * 5^8. According to the rule above, this expression simplifies into 5^{8+8+8}, which is indeed 5^{8*3}

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