Answer:
The value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
Step-by-step explanation:
We need to determine the value of k if [tex]2^4=16^k[/tex]
We are given:
[tex]2^4=16^k[/tex]
Exponent rule, if bases are equal the exponents are equal
We can write [tex]16= 2^4[/tex]
[tex]2^4=(2^4)^k\\2^4=2^{4k}[/tex]
Now since the base is same, i,e 2 so, the exponents will be same
[tex]4=4k\\k=1[/tex]
So, the value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
