Concept 4 Combining Laws of Exponents Part 2

​Concept 4: Part 2

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​(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 the expression.

$$\left(7^{-2}\right)^6$$  

• $$\frac{1}{7^{12}}$$  

• $$\frac{1}{7^4}$$  

• $$7^{12}$$  

• $$7^4$$  

Multiple Choice

Simplify the expression.

$$\left(2^4\right)^{-5}$$  

• $$\frac{1}{2^9}$$  

• $$2^{20}$$  

• $$\frac{1}{2^{20}}$$  

• $$2^9$$  

Multiple Choice

Simplify (5a⁴b^-5)⁶

• $$\frac{30a^{24}}{b\ ^{30}}$$  

• $$\frac{15625a^{24}}{b\ ^{30}}$$  

• $$15625a^{24}b^{30}$$  

• $$30a^{24}b^{30}$$  

Multiple Select

John simplified $$\left(6x^4y^8z^{-5}\right)^{-4}$$   and got the answer $$1296x^4y^{-32}z^{20}$$  .

Select all the mistakes.

• 1296 needs to be denominator

• The exponent for x should be multiply by -4.

• The y should be moved to the denominator.

• The z should have an exponent of -20

• 6 to the power of 4 is not 1296

Multiple Choice

Simplify $$\left(\frac{a^4}{a^3a^5}\right)^{-6}$$  

• $$a^{24}$$  

• $$a^{18}$$  

• $$\frac{1}{a^{22}}$$  

• $$\frac{1}{a^{16}}$$  

Multiple Choice

John simplified $$\left(\frac{5b^4c^5}{b^{-6}c^8}\right)^{-3}$$  and got $$\frac{c^9b^{30}}{125}$$  . What mistake did he make?

• 5 to the power of 3 is not 125.

• C should be in the denominator

• b should be in the denominator

• The exponent for b should be 12

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Page 41

Problems 1-6,

and 10-12