Exponents and Scientific Notation

Exponents and Scientific Notation

by Melis Garner

​Exponent Properties

​Exponent Properties

Watch this video to watch these properties in action!

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​It is very important to watch the entire video!

Multiple Choice

$$5^3\times5^6$$  

• $$5^9$$  

• $$5^{18}$$  

• $$5^3$$  

• $$5^{-3}$$  

Multiple Choice

$$6^{-2}\times6^5$$  

• $$6^7$$  

• $$6^{-7}$$  

• $$6^3$$  

• $$6^{-3}$$  

Multiple Choice

$$\frac{4^7}{4^2}$$  

• $$4^9$$  

• $$4^5$$  

• $$4^{14}$$  

• $$4^{-5}$$  

Multiple Choice

$$\frac{5^{10}}{5^{-2}}$$  

• $$5^{12}$$  

• $$5^8$$  

• $$5^{-8}$$  

• $$5^{-12}$$  

Multiple Choice

$$\left(6^2\right)^5$$  

• $$6^{-3}$$  

• $$6^3$$  

• $$6^7$$  

• $$6^{10}$$  

Multiple Choice

$$\left(8^{-2}\right)^4$$  

Do not use negative exponent property

• $$8^{-2}$$  

• $$8^2$$  

• $$8^{-8}$$  

• $$8^6$$  

Multiple Choice

$$9^{-5}$$  

• $$9^5$$  

• $$\frac{1}{9^5}$$  

• $$\frac{1}{9^{-5}}$$  

• $$9$$  

Multiple Choice

$$\frac{1}{4^{-7}}$$  

• $$4^{-7}$$  

• $$4$$  

• $$4^7$$  

• $$\frac{1}{4^7}$$  

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​Applying Exponent Properties

Watch the following video to review how to apply exponent properties to order of operation problems.

Multiple Choice

$$\frac{\left(4+2\right)^8}{\left\{\left(12-6\right)^2\right\}^2}$$  

• $$\frac{1}{6^8}$$  

• $$6^{12}$$  

• $$\frac{1}{6^4}$$  

• $$6^4$$  

Multiple Choice

$$\frac{\left(8-3\right)^9}{\left\{\left(2+3\right)^2\right\}^3}$$  

• $$\frac{1}{5^3}$$  

• $$5^3$$  

• $$\frac{1}{5^4}$$  

• $$5^4$$  

Multiple Choice

$$\frac{\left(10-3\right)^9}{\left\{\left(12-5\right)^3\right\}^3}$$  

• $$7$$  

• $$7^3$$  

• $$1$$  

• $$7^{12}$$