Exponent Rules Day 2 T3 23

Exponent Rules

{Day 2}

Design Algebra II Pt. II T2

Open Ended

Question of the Day:

Imagine you can instantly learn any language. Which would you choose?

Multiple Choice

In the expression, 3⁴, 3 is the ________, and 4 is the __________.

• exponent, base

• base, exponent

• power, base

• exponent, power

Multiple Choice

To simplify the expression below, you __________ the exponents. 

$$x^3\cdot x^4$$  

• add

• subtract

• multiply

• divide

Multiple Choice

To simplify the expression below, ________ the exponents. $$\frac{x^3}{x^4}$$  

• add

• subtract

• multiply

• divide

Multiple Choice

$$x^5\cdot x^{10}=x^?$$  

• 2

• 5

• 50

• 15

Multiple Choice

$$\frac{x^{10}}{x^5}=x^?$$  

• 15

• 5

• 50

• 2

Multiple Choice

True or False?

• True

• False

Multiple Choice

3³ ⋅ 3

• 3⁴

• 3³

• 3⁰

• 1 ⁄ 3⁴

Multiple Choice

Simplify
m⁵⋅m²

• m⁷

• m³

• m¹⁰

• m²

Multiple Choice

$$\left(\frac{x}{y}\right)^4$$  

In the expression above, the exponent applies to which part or parts of the fraction?

• the numerator only

• the denominator only

• both the numerator and the denominator

• neither the numerator nor the denominator

Multiple Choice

$$\left(\frac{1}{3}\right)^2$$   What is the correct simplification of the above fraction? 

• $$\frac{2}{6}=\frac{1}{3}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{9}$$  

• $$3$$  

Multiple Choice

$$\left(x^3\right)^5$$  

To simplify the above expression, ___________ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

$$\left(x^{10}\right)^{10}=x^?$$  

• 100

• 20

• 0

• 1

Multiple Choice

$$\left(2xy\right)^3$$   In the above expression, the 3 applies to ________.

• only y

• 2, x, and y

• only x and y

• only 2

Multiple Choice

$$\left(2xy\right)^3=\ ?$$  

• $$2xy^3$$  

• $$2x^3y^3$$  

• $$8x^3y^3$$  

• $$8xy$$  

Zero Exponent

• As our exponent increases, we MULTIPLY by the base one fore time

• So, every time your exponent decreases, we DIVIDE by the base.

• When the exponent decreases from 1 to zero, we divide the base by itself and end up with 1

Zero Exponent Rule

Any non zero base with a zero exponent is equal to 1

Multiple Choice

Any number written to the 0 power is always 1

Example: 8⁰=1

• True

• False

Multiple Choice

Simplify (-4x)⁰

• -4

• -4x

• -1

• 1

• 0

Multiple Choice

Simplify -4x⁰

• -4

• -4x

• -1

• 1

• 0

Multiple Choice

Which is greater, 2654⁰ or 5⁰?

• 2654⁰

• 5⁰

• They are the same

• This cannot be determined.

Negative Exponents

Negative Exponent Rule

Negative exponents can be written as the reciprocal fraction with a postive exponent

Negative Exponent Rule

Multiple Choice

Simplify x^-7

• -7

• -7x

• $$\frac{1}{x^7}$$

• $$-\frac{1}{x^7}$$

Multiple Choice

Rewrite using positive exponents.

3x⁻²

• $$\frac{3}{x^2}$$

• $$\frac{1}{3^2}$$

• $$\frac{x^2}{3}$$

• -3x²