Question

I need help with this what would k be? Or is she correct

Answer 1

The value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

Explanation:

We need to determine the value of k if
`2^4=16^k`

We are given:

`2^4=16^k`

Exponent rule, if bases are equal the exponents are equal

We can write
`16= 2^4`

`2^4=(2^4)^k\\2^4=2^(4k)`

Now since the base is same, i,e 2 so, the exponents will be same

`4=4k\\k=1`

So, the value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2