Week 3 – Math 10

I learnt that there shouldn’t be a negative exponent and in order to make it positive, i have to recipricate it. Which means i have to flip it from the numerator to a denominator or vice versa, depending on where the negative exponent is located.

Ex. x^-6

As we can see here, ^-6 has to be changed to a positive exponent. in order to do this, we must flip the variable with the exponent.

Therefore, x^-6\frac{1}{x^6}

Now that my exponent is positive, I can work from there

If the negative exponent is in a fraction, we must only flip the variable with that exponent to the bottom or top. i use to get confused and flip the whole fraction but i now know i only flip the variable with the exponent unless if theres a bracket.

Ex. \frac{2a^-5}{4b^6}

Instead of flipping the whole fraction, we only need to bring down a^-5 to the denominator because we only need to change that exponent, not the others.

Therefore, it will become \frac{2}{4b^6a^-5}