9 2power Of Power

Power of a Power Finding powers of numbers with exponents (x m ) n = x mn

Simplify ,[object Object],[object Object],[object Object]

How does this work? ,[object Object],[object Object],[object Object],[object Object]

Let’s look at some more ,[object Object],[object Object],[object Object],[object Object],[object Object]

Let’s try some using the Power of Powers Property ,[object Object],[object Object],[object Object],[object Object],[object Object]

Try some ,[object Object],[object Object],[object Object],[object Object],[object Object]

Power of Powers ,[object Object],[object Object],[object Object],[object Object]

Raise a monomial to a power ,[object Object],[object Object],[object Object],(x*y*y)* (x*y*y) = x*y*y*x*y*y = x*x*y*y*y*y = x 2 y 4

Try some ,[object Object],[object Object],[object Object],[object Object]

Solutions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Let’s take another look ,[object Object],[object Object],[object Object]

Try some more. Use 1 to your advantage when you can. ,[object Object],[object Object],[object Object],[object Object]

Solutions ,[object Object],[object Object],[object Object]

Powers of -1 ,[object Object],[object Object]

solutions ,[object Object],[object Object],[object Object],[object Object],[object Object]

Negative and Zero Exponents Integrated II Chapter 9.2

Negative Integers do NOT mean negative numbers

Numbers to the Zero Power ,[object Object],[object Object]

Using division to prove ,[object Object],[object Object],[object Object]

Negative Exponents ,[object Object],[object Object],[object Object],[object Object]

Simplify. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Simplify. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Let’s Divide! Dividing Monomials Focus: Quotient of Powers Rule

Quotients of Powers ,[object Object],[object Object],[object Object],[object Object],[object Object],a*a*a*a*a*a = a*a*a*a

Let’s find a different way ,[object Object],[object Object]

Quotient of Powers Property ,[object Object],[object Object]

Let’s prove it. ,[object Object]

Solutions ,[object Object],[object Object],[object Object],[object Object]

Try Some with variables. ,[object Object],[object Object],[object Object]

Fun Fun Fun ,[object Object],[object Object],[object Object],[object Object]

Remember negative exponents? ,[object Object],[object Object]

Combine two concepts (answers)

Thanks for enjoying math! ,[object Object]

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