How do I write an expression with a negative exponent that has a value between 0 1/2
Something between 0 and 1/2...how about 1/4?
To write this with a negative exponent...
If you have some number with a negative exponent \(n^{-x}\), you can rewrite it as \(\frac{1}{n^x}\) (and vice versa)
Here's how we work the negative exponent on this one: \(\frac14=\frac1{2^2}=\boxed{2^{-2}}\)
For this case, the first thing we must do is define variables.
We have then:
b: base of the expression
n: exponent of the expression (<0)
Writing the expression we have:
\(b^n\)
We want a number between 0 and 1/2
Therefore, for b = 2 and n = -2 we have:
\(2^{-2}\)
Rewriting the expression:
\(\frac{1}{2^2}\)
\(\frac{1}{4}\)
\(\frac{1}{4}=0.25\)
Answer:
an expression with a negative exponent that has a value between 0 and 1/2 is:
\(2^{-2}\)