The base of an exponent can be changed from one number to another.
[tex]16^8[/tex] as a power with a base of 4 is [tex]4^{16[/tex]
The expression is given as
[tex]16^8[/tex]
Where:
[tex]16 \to[/tex] base
Express 16 as 4^2
[tex]16^8 = (4^2)^8[/tex]
Remove brackets and apply law of indices
[tex]16^8 = 4^{(2\times 8)[/tex]
[tex]16^8 = 4^{16[/tex]
Hence;
[tex]16^8[/tex] as a power with a base of 4 is [tex]4^{16[/tex]
Read more about exponents at:
https://brainly.com/question/11496840
