Answer:
im pretty sure you tried to say
Write 2^60 as an exponent with a base of:
a) 8
b) 16
c) 32
the answer is :
8^20 (eight to the twentieth power)
[tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].
We can rewrite the expression by means of the following power property, that is to say:
[tex]a^{b\cdot c} = (a^{b})^c[/tex], [tex]a, b, c\in \mathbb{N}[/tex] (1)
Where [tex]a[/tex] and [tex]a^{b}[/tex] are bases.
If we know that [tex]a = 2[/tex] and [tex]b\cdot c = 60[/tex], then the equivalent expression is:
[tex]2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}[/tex]
Hence, [tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].
We kindly invite to check this question on power operations: https://brainly.com/question/18112557
