Definitions of the Day (DODs) 8.6 – Multiplication Property of Exponents Power (Review) Base (Review) Exponent (Review)

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Presentation transcript:

Definitions of the Day (DODs) 8.6 – Multiplication Property of Exponents Power (Review) Base (Review) Exponent (Review)

Review – Power – Any expression in the form a n. Ex. 5 4, read as “5 to the 4 th power.” bxbx b is the base x is the exponent

What is another way to write 4 2 ? What is another way to write 4 3 ? Combine the 4’s together. How many 4’s do you have? Rewrite the string of 4’s by using exponents. What might be a general rule for this process?

Multiplying Powers with the Same Base If and n and m are integers, a m a n = a m+n Ex = = 3 9 x 3 x 7 = x 3+7 = x 10 Notice! The bases must be the same! We can not simplify an expression like The bases are not the same!

Multiplying Numbers in Scientific Notation The rule for Multiplying Powers with the Same Base can help us when Multiplying Numbers in Scientific Notation. If a and b are real numbers and n and m are integers, then: Ex. Notice! Multiply the numbers together, and add the exponents together!

Simplify each expression

Your Turn!!

Sentence Frames 1.When multiplying exponents with the same _________, I need to _____________ the exponents. 2.When multiplying two numbers written in scientific notation, I need to __________ the numbers and ___________ the exponents.