The lesson is positive exponents. This is the problem that needs to be simplified: (2^3)^2.
In what occasion would I apply the outer exponent to the whole number?

Question

The lesson is positive exponents. This is the problem that needs to be simplified: (2^3)^2.
In what occasion would I apply the outer exponent to the whole number?

imstuck · Answer

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theeric · Answer

Try to remember the rules, but know there's hope if you forget!

$$\left(2^3\right)^2\
=\
\left(2^3\right)\left(2^3\right)\
=\
\left(2\times2\times2\right)\left(2\times2\times2\right)\
=\
2\times2\times2\times2\times2\times2\
=\
2^6$$

theeric · Answer

Hopefully you just remember they can be multiplied.
If not...
Hopefully you can stop at $(2^3)^2=2^32^3$, because you know the right side exponents can be added.
If not...
Hopefully you can stop at $2^32^3=2\times2\times2\times2\times2\times2$ because that is the exact reason why we have exponents! Counting how many times a factor multiplies itself!

anonymous · Answer

So in this case, do I only multiply the exponents?