## Week 2 – Math 10

This week I learned how negative exponents work and how they effect their base’s. Negative exponents unlike positive exponents don’t increase the numbers size. Normal exponents multiply a number over and over (ex. $3^3 = 3\cdot3\cdot3 = 27$) and negative exponents turn the number into a fraction (ex $3$ to the power of $-3 = \frac{1}{27}$).

You can turn it into a normal number by following the next steps. I will use 5 to the power of -4 for this example.

First, if the exponent is negative, then you turn it into a fraction of $\frac{x}{1}$.

Then you put the denominator on the bottom, therefor making the exponent positive (if the negative was originally on the bottom, you move it to the top).

Then you find out what the product of the power is and put that underneath a 1, in this case $\frac{1}{625}$