Power of a Power

Open Ended

Type your answers to the warm up here.

Open Ended

How will you meet the learning target for today?

Math Response

Type answer here

Correct Answer: \left(-3\right)^6

Deg^°

Rad

Open Ended

Why was the answer in Example # 1 positive?

Math Response

Type answer here

Correct Answer: 2^{10}

Deg^°

Rad

Math Response

Type answer here

Correct Answer: \left(\frac{5}{2}\right)^2\times2^6

Deg^°

Rad

Open Ended

For the last example, why was the exponent 2 applied to both of the factors in the first step?

Math Response

Type answer here

Correct Answer: 7^2\times2^4

Deg^°

Rad

Math Response

Type answer here

Correct Answer: 1^4\times0.2

Deg^°

Rad

Open Ended

Example 3: Write about it! Why were the exponents multiplied when simplifying the expression?

Math Response

Type answer here

Correct Answer: \left(\frac{2}{3}\right)^6\times3^9

Deg^°

Rad

Math Response

Type answer here

Correct Answer: \frac{\left(-2\right)^4}{3^4}

Deg^°

Rad

Math Response

Type answer here

Correct Answer: \frac{1^3}{5^{ }}

Deg^°

Rad

Math Response

Type answer here

Correct Answer: 5^2x^6

Deg^°

Rad

Multiple Choice

Simplify:

(b⁵)(b⁴)

• $$2b^{54}$$  

• $$b^{20}$$  

• $$b^9$$  

• $$b$$  

• None of these

Multiple Choice

Simplify:

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

Multiple Choice

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

Multiple Choice

Simplify:

(5³)⁷

• 5²¹

• 5¹⁰

• 5⁴

• 125²¹

Multiple Choice

Power to a Power Rule

When raising a power to a power, keep the base and ________ the exponents

• postive

• subtract

• multiply

• divide

Multiple Choice

Power of a Product Rule

When raising a product to a power, __________ the exponents to each factor in the product. Then simplify the expression.

• distribute

• add

• multiply

• divide

Multiple Choice

Power of a Quotient Rule

When raising a quotient to a power, distribute the _____________ to the numerator and denominator. Then simplify the expression.

• exponent

• numbers

• integers

• name

Multiple Choice

$$\left(ab^5\right)^7$$  

• $$a^6b^2$$  

• $$a^8b^{12}$$  

• $$ab^{35}$$  

• $$a^7b^{35}$$  

Multiple Choice

$$\left(12n^{14}\right)^{10}$$  

• $$12n^{140}$$  

• $$12^{11}n^{24}$$  

• $$12n^{24}$$  

• $$12^{10}n^{140}$$  

Multiple Choice

$$\left(6qr^4\right)^3$$  

• $$6q^4r^7$$  

• $$6^4q^4r^7$$  

• $$6^3q^3r^{12}$$  

• $$6q^3r^{12}$$  

Multiple Choice

Simplify

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Simplify:
(12x⁵y⁴/16x²y⁶)^{2
Note: / is divide--rewrite first part over the second part to view easier}

• 9x⁹/16y⁴

• 144x¹⁰y⁸/256x⁴y¹²

• 3x^6/4y⁴

• 9x⁶/16y⁴