2.2.5 Properties of Exponents

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Multiple Choice

Warm-Up

$$2^3\ x\ 2^{4\ }\ =\$$  

• $$2^{12}$$  

• $$2^7$$  

• $$2^1$$  

• $$2^{34}$$  

Computer Memory

• Computers often need additional memory to handle new ungraded features.

  • If a system has a binary memory power of 2³​ but the software engineer adds additional memory power of 2⁴, the computer system now has a memory of 2⁷!

• Negative exponents are used to represent how small something is!

  • Computer chips get smaller as technology advances. Engineers use negative exponents to measure different parts of a device to calculate overall size! What is 2^-7?​

Multiple Choice

What is 2^-7

• 128

• -128

• $$\frac{1}{128}$$  

• $$-\frac{1}{128}$$  

Multiple Choice

Which makes the following statement true?

If you have a NEGATIVE exponent, it represents a number _________ than 1!

• Greater than

• Less than

• Equal to

Properties of Exponents and Order of Operations

Open Ended

Does $$5^9\ x\ 6^{7\ }\ =\ 30^{16}$$  ? Explain

Draw

Solve $$9^{-8}\ x\ \frac{1}{9^3}$$  . Write your answer using positive exponents

Multiple Choice

How can you write $$\frac{45^{-3}}{45^3}$$   using positive exponents?

• $$45^6$$  

• $$45^0$$  

• $$45^{-1}$$  

• $$\frac{1}{45^6}$$  

STUDY!!!!