The Question

what is 16⁸ = 2^?

 

^{We know 2^4 = 16}

 

^{That means :} 

^{(2)^8*4 = 2^?}

 

^{2^32 = 2^?}

 

^{? = 32}

U can use the logarith for this question.

Lets say the ? is x.

 

the logarithm of 2  gives 16^8 as a result with the exponent x.

 

log2(16^8)=x

 

Use logarithm rules:

 

8* log2(16) = x

 

The log of 2(16) is 4, since 2^4 is 16.

 

8* 4 = x

32 = x