Question

What is 0.3 to the -1 power

Answer 1

When dealing with to the power of, also referenced as exponents the system is quite tricky.

First off, exponents work like this:

2^2 = 2 * 2 = 4
5^4 = 5 * 5 * 5 * 5 = 625

Now when it comes to negative exponents you must first convert it to a fraction, basically the said number the exponent is attached to is flipped and the same rule applies, for example:

2^-2 = 2 |flipped| 1/2 * 1/2 = 1/4 = 0.25
5^-4 = 5 |flipped| 1/5 * 1/5 * 1/5 * 1/5 = 1/625 = 0.0016

Do you get how it works? Basically, it's the same thing, just you flip it over into a fraction first then apply the same rule.

Now, take 0.3 and then take that negative 1 exponent:

0.3^-1 = 0.3 |flipped| 1/0.3 = 3.33 (estimated)

I hope this helps, have a great rest of your day! ^ ^
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