Verified answer

Take a general example:

(a^2)^3

What does a^2 mean? it's multiplying a to itself, twice, or "aa"

So now we have:

(aa)^3

Same question: what does that mean? It's multiplying itself three times, so:

(aa)(aa)(aa)

Which is a^6

So if you have an exponent of an exponent, you multiply the exponents together and keep the same base.

So your question:

(2²)³

Is the same thing, keep the same base, multiply the exponents:

2^6

When applying an exponential function to another exponential function, simply add the exponents:

(2³)² = 2^(3 x 2)

= 2^6

= 64

¯¯¯¯¯¯

Or you can use logarithms:

(2³)² = Log‾¹ 2(3Log2)

= Log‾¹ 2[3(0.301)]

= Log‾¹ 2(0.9031)

= Log‾¹ 1.8062

= 64

¯¯¯¯¯

2^6 (6=3*2)

multiply 3*2

2^6

64