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Here are a few recommended readings before getting started with this lesson.
Kriz wants to play some video games with their little cousin. However, Kriz's cousin has not finished his homework yet.
Kriz does not want to spill out the answer right away. They want to help their cousin understand math! Kriz's cousin only knows how to use multiplication tables.
While waiting for their cousin to finish his homework,Kriz plays a single-player game video game.
Use the Power of a Product Property and the Power of a Power Property.
(a⋅b)m=am⋅bm
(am)n=am⋅n
Multiply
Multiply
Any non-zero real number raised to the power of 0 is equal to 1.
a0=1
If a is a non-zero real number and n is a positive integer, then a raised to the power of -n is equal to 1 over a raised to the power of n.
a-n=an1
Use the Product of Powers Property and the Zero Exponent Property. Remember, any number or expression multiplied by 1 is equal to itself.
Kriz's cousin has finally finished his homework, so they can play a cooperative game together.
Use the Quotient of Powers Property and the Negative Exponent Property to reach the final answer.
Kriz's cousin needs to finish his homework. He is down to the last multiplication problem.
Note that both 16 and 9 are perfect squares. This can be shown in the multiplication table.
Finally, the answer can be given using only information from the multiplication table.