Question

Does 0.2 to the fourth power equal .16? Correct me if I’m wrong.

Answer 1

Remember that 0.2 is just another way of writing
`(2)/(10)`. Looking at the number as a fraction, we find that

`\big((2)/(10) \big)^4=(2^4)/(10^4) =(16)/(10,000)`

To write this number as a decimal, we start with the decimal just after the ones place and move it 4 places to the left:

16.0 → 1.6 → 0.16 → 0.016 → 0.0016

Answer 2

The correct answer is:
0.0016