Exponent Laws Continued

Today grade 9s finished working on exponent laws. We looked at power of a power today. We noticed that you could write out (5x^3y)^2 as (5x^3y)(5x^3y) and then use the multiplication law to get to the answer.

After a few questions it got a bit boring to write things out long form, and we noticed some patterns. We need to apply the outside exponent to the coefficient in the brackets. We also can multiply the outside power with the inside power to get to the answer.

We got really good at this and then upped the spice level to try some questions with power of a power AND multiplication as well. This picture was taken partway through the problem. The final answer is 432x^10y^6.

We’re practicing how to simplify using a mixture of the laws now.