Algebraic Expressions Using Law of Exponents

SY 2022-2023​

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​Expanding Laws of Exponents...

​Topic 2-7: Laws of Exponents (Algebraic Expressions)

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Multiple Choice

Warmup #1: An expression is shown. Which expressions is equivalent?

• $$2\ \times\ 10^{-17}$$  

• $$2\times10^{-12}$$  

• $$2\times10^{-2}$$  

• $$2\times10^{12}$$  

Multiple Choice

Earth is approximately $$9\times10^7$$   miles from the Sun. Neptune is approximately $$3\times10^9$$  miles from the Sun. Approximately how many times farther from the Sun is Neptune than Earth?

• 3

• 30

• 300

• 3000

Multiple Choice

Which expression is equivalent to $$u^0vw^{-3}v$$  ?

• $$\frac{v^2}{w^3}$$  

• $$uv2w^{-3}$$  

• $$-3uvw$$  

• 1

Multiple Choice

Which expression is equivalent to $$s^3\cdot\left(s^2t\right)^0\cdot t^3$$  

• $$\frac{s^3t^3}{s^2t}$$  

• $$s^5t^4$$  

• $$\left(st\right)^3$$  

• $$\left(s^2t\right)^3$$