U5d2 Exponents - Product and Power

Drag and Drop

Fill in the blanks for the following exponent rules:

Product of Powers: $$a^m\cdot a^n$$ = ​ ​ ​ ​ ​ ​

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and Power of a Power: $$\left(a^m\right)^n$$ = ​ ​

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and $$(ab)^m$$ = ​ ​

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Drag these tiles and drop them in the correct blank above

1

Multiple Choice

$$a^4\cdot a^3$$  

• $$a^7$$  

• $$a^{12}$$  

• $$2a^7$$  

• $$a$$  

Multiple Choice

Simplify the monomial.
$$\left(x^2\right)^3$$  

• $$x^5$$  

• $$x^8$$  

• $$x^6$$  

• $$3x^2$$  

Multiple Choice

Simplify
$$\left(3y^6\right)\left(4y^8\right)$$  

• $$12y^{48}$$  

• $$7y^{14}$$  

• $$12y^{14}$$  

• $$7y^{48}$$  

Multiple Select

Vital Statistical Analysis: Which Fall Drink Wins?

• Pumpkin Spice Latte

• Matcha Latte

  with my quarter zip and tie.

• Chai / Pink Tea

• Just water. I am boring.

Multiple Choice

Simplify the expression
$$\left(-2xy^2\right)^3$$  

• $$-6x^3y^6$$

• $$8x^3y^6$$

• $$-8x^3y^6$$

• $$-2x^3y^6$$

Multiple Choice

Simplify the expression
$$\left(xy\right)^5$$  

• $$xy^5$$

• $$x^5y^5$$

• $$5xy$$

• $$x^6y^6$$

Multiple Choice

Simplify the expression

$$(3x^3y^2)(5xy^3)$$ .

• $$15x⁴y⁵$$

• $$15x^3y^5$$

• $$8x^4y^5$$

• $$15x^3y^6$$

Multiple Select

Calculate Your Plans for Tomorrow Morning

• Waking up at 6:00 AM for no reason

• Waking up at a normal human time

• Hibernating until Monday

• My mom will wake me up with the vacuum cleaner at 8:00 AM.

Multiple Choice

Simplify the expression

$$\left(-3x\right)^3$$ .

• $$-27x^3$$

• $$-9x^3$$

• $$27x^3$$

• $$-3x^3$$

Multiple Choice

Simplify the expression

$$5x(2x^2)^3$$ .

• $$10x^7$$

• $$30x^7$$

• $$40x^6$$

• $$40x^7$$

Multiple Select

Fall Break Estimation

Solve for x, Number of cousins you will see.

• x = 0

  I am locking my door

• x < 5

  A quiet dinner

• x > 100

  There is a family party somewhere

Multiple Choice

Simplify the expression

$$(2a^4)(4a^3b^2)\left(-3ab^3\right)$$

• $$-24a^{12}b^6$$

• $$-24a^7b^5$$

• $$-24a^8b^5$$

• $$3a^8b^5$$

Multiple Choice

Simplify the expression

$$(3x^2y^5)(-2xy^3)^2$$

• $$-12x^4y^{11}$$

• $$12x^4y^{11}$$

• $$-6x^3y^8$$

• $$12x^4y^{30}$$

Multiple Select

San Antonio "Fall" Math

Identify the absolute truth.

• It is technically "Fall," so I must wear a hoodie (even if it is 90°F outside).

• The construction on campus will be finished after I have graduated.

• TAKIS and an Energy drink constitute a balanced breakfast.

Open Ended

Find the area of a rectangle that has a length of $$7b^2$$ and a width of $$2b^3$$ .

^{keep in mind to enter} $$12p^7$$ you need to enter 12p^7 No spaces.

Multiple Choice

Statistical Analysis of the "Best Pie"

There is only one correct answer. Choose wisely.

• Pumpkin Pie

  The "Basic" choice. You probably own Ugg boots.

• Pecan Pie

  The Texas choice. It is 99% sugar, 1% nut, and 100% delicious.

• Apple Pie

  The safe choice. You are afraid of commitment.

• Pizza Pie

  The Loophole choice. You are a genius.

• "I don't like pie."

  You must leave my classroom now.

Open Ended

Find the area of the triangle given:  $$A=\frac{1}{2}\cdot base*height$$
base = $$3b^2$$
height = $$12p^7b^{19}$$

^{keep in mind to enter} $$12p^7b^{19}$$ you need to enter 12p^7b^19. No spaces.

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident