Properties of Powers with Integer Exponents

Open Ended

Complete your Friday GMAS Warm Up Question. If you have time type out your flower and/or thorn.

Multiple Choice

  Friday

Do NOT use a calculator.

At 3 PM, the outside temperature was 4°F. The temperature then fell steadily by 2°F every hour for the next four hours. What was the temperature at 7PM? 

• $$8\degree F$$

• $$4\degree F$$

• $$-2\degree F$$

• $$-4\degree F$$

Poll

Which one doesn't belong?

• $$\left(4x^2\right)^2$$

• $$8x^2\cdot x^2$$

• $$2x^{ }\cdot\ 4x^3$$

• $$8\left(x^2\right)^2$$

Poll

WAIT UNTIL I TELL YOU TO MAKE YOUR SELECTION!

What's your Self-Assessment?

• I can simplify and evaluate numerical expressions involving integer exponents.

• I can apply the properties of exponents to generate equivalent numerical expressions.

• I can do both.

• I can't do either YET.

Math Response

$$\left(5^8\right)\left(5^5\right)$$

Type your answer in exponential form.

Type answer here

Correct Answer: 5^{13}

Deg^°

Rad

Math Response

$$\left(x^6\right)\left(x^2\right)\ =\$$

Type your answer in exponential form.

Type answer here

Correct Answer: x^8

Deg^°

Rad

Math Response

$$\frac{5^{10}}{5^2}=$$

Type your answer in exponential form.

Type answer here

Correct Answer: 5^8

Deg^°

Rad

Math Response

$$\left(5^8\right)^{6\ }=$$

Type your answer in exponential form.

Type answer here

Correct Answer: 5^4

Deg^°

Rad

Math Response

$$\left(953^7\right)^3=$$

Type your answer in exponential form.

Type answer here

Correct Answer: 953^{21}

Deg^°

Rad

Math Response

Try It

Use what you just learned to solve these problems. Write your answer using exponents.

Simplify: $$\left(2^{18}\right)^{8\ }=$$

Type answer here

Correct Answer: 2^{144}

Deg^°

Rad

Math Response

Simplify: $$\left(4^9\right)\left(25^9\right)=$$

Type answer here

Correct Answer: 100^9

Deg^°

Rad

Math Response

Try It

Simplify: $$455^{0\ }=$$

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

Try It

Write your answer using positive exponents.

Simplify: $$19^{-4}$$

Type answer here

Correct Answer: \frac{1}{19^4}

Deg^°

Rad

Math Response

Simplify: $$\left(3^2\cdot4^2\right)^{5\ }=$$

Type answer here

Correct Answer: 12^{10}

Deg^°

Rad

Math Response

Simplify: $$9^{-8}\cdot\frac{1}{9^3}$$

Type answer here

Correct Answer: \frac{1}{9^{11}}

Deg^°

Rad

Multiple Choice

Which expression is equivalent to $$\frac{45^{-3}}{45^3}=$$

• $$45^{-1}$$

• $$45^0$$

• $$\frac{1}{45^6}$$

• $$45^6$$

Video Response

Your classmate is absent. Share one thing you learned from the lesson that will help them when they return.

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