Concept 4 Combining Laws of Exponents Part 1

​Concept 4

Part 1​

(Calculator)​

​(MA.8.AR.1.1) Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases.

Multiple Choice

Simplify f¹⁷f^-20

• $$\frac{1}{f^3}$$  

• $$f^3$$  

• $$f^{37}$$  

• $$\frac{1}{f^{37}}$$  

Multiple Choice

Simplify 2^-132¹⁰

• $$\frac{1}{2^{23}}$$  

• $$2^{23}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{8}$$  

Multiple Select

Select all that are equivalent to 8⁵8^-7

• $$8^2$$  

• $$\frac{1}{8^2}$$  

• $$\frac{1}{16}$$  

• $$\frac{1}{64}$$  

• $$\frac{8^5}{8^7}$$  

Multiple Choice

Simplify $$\frac{q^3}{q^{100}}$$  

• $$q^{97}$$  

• $$\frac{1}{q^{103}}$$  

• $$\frac{1}{q^{97}}$$  

• $$\frac{1}{q^{97}}$$  

Multiple Choice

Simplify $$\frac{3^{50}}{3^{53}}$$  

• $$\frac{1}{27}$$  

• $$\frac{1}{9}$$  

• $$3^{-103}$$  

• $$\frac{1}{3^{103}}$$  

Match

Match the following

• $$\frac{a^{14}}{a^{12}}$$  

• $$\frac{a^{12}}{a^{14}}$$  

• $$\frac{a^{-12}}{a^{14}}$$  

a²

 

 

• a²

• $$\frac{1}{a^2}$$  

• $$\frac{1}{a^{26}}$$  

Multiple Choice

Simplify $$\frac{w^7r^4w^6}{r^3w^9r^8}$$  

• $$\frac{r^7}{f^{12}}$$  

• $$\frac{w^5}{r^8}$$  

• $$\frac{1}{w^{12}r^8}$$  

• $$\frac{w^4}{r^7}$$  

Multiple Choice

Simplify $$\frac{12i^4p^7p^8}{3i^{31}}$$  

• $$\frac{4p^{15}}{i^{27}}$$  

• $$\frac{9p^{15}}{i^{27}}$$  

• $$\frac{4}{i^{27}p}$$  

• $$\frac{9p^{ }}{i^{27}}$$  

​Check your answers before starting part 2

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