Exponent Review for Test

Powers and Exponents

100

WRITE IN EXPONENTIAL FORM 

X * X * X 

X³

200

WRITE IN EXPONENTIAL FORM 

-3 * 3 * -3 * 4* -3 * 3 * 4 * 1/4

-3³  * 3² * 4² * 1/4

300

WRITE IN EXPANDED FORM 

(-2)⁴

(-2) * (-2) * (-2) * (-2)

400

EVALUATE 

(-4)³ + 16

-48

500

EVALUATE 

(n⁵ + 6) - m² 

^{if n=-2 and m= -4}

-42

Operations W/ Exponents

100

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT 

6a²b³ * 2a³b²

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) 6 * 2a⁵b⁵

2.) = 12a⁵b⁵

200

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

(3²)³

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) = 3⁶

2.) 729

300

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

h⁸/h³

THEN EVALUATE OR SIMPLIFY IF POSSIBLE

1) h⁵

2.) cannot simplify further

400

Explain to the class what property you use to solve when: 

-you are using the quotient of powers property

-you are using the product of powers property

- you are using the powers of powers property 

- Subtraction

-Addition 

-Multiplication 

500

FIRST WRITE USING EXPONENTIAL FORM WITH A SINGLE POSITIVE EXPONENT

15x⁶y⁸/5x³y⁴

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) 15/3 x³y⁴

2.) = 5x³y⁴

Zero and Negative Exponents

100

FIRST WRITE THE EXPRESSION IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

4^-3

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) 1/4³ 

2.) 1/64

200

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT 

8m³n^-3

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) 8m³/n³

2.) Cannot simplify further.

300

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

6x^-3/2y^-2

THEN EVAULATE OR SIMPLIFY IF POSSIBLE 

1.) 6y²/2x³

2.) 3y²/x³

400

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

-3a^-3b⁴c^-2d⁰

THE EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) -3b⁴*1/a³c²

2.) -3b⁴/a³c²

500

FIRST WRITE IN EXPONENTIAL FORM WITH ONE SINGLE POSITIVE EXPONENT

1/y^-9

THEN EVALUATE OR SIMPLIFY IF POSSIBLE 

1.) y⁹

2.) Cannot simplify further. 

Challenge

100

Evaluate :

14¹⁵/7¹⁴

2¹=2

200

Evaluate :

5x² if x= 2

5(2)² =20

300

Evaluate :

2x³y⁴ *-3xy²* 2x⁴y⁵

2*-3*2 x⁸y¹¹

⁼ -12x⁸y¹¹

400

Evaluate:

-36e³f⁴/6e²f³

=-6e¹f¹

=-6ef

500

Evaluate:

(-4a⁴b²c⁵d²)²

(-4²a^4*2b^2*2c^5*2d^2*2)

= 16a⁸b⁴c¹⁰d⁴

Miscellaneous

100

Can you write 

12wxy

as 

12w¹x¹y¹? 

Yes, you can include the 1!

200

Evaluate 

1/3 + 1/2

= 2/6 + 3/6

=5/6

300

Evaluate:  -3+2-4-8

-13

400

Explain in a complete sentence:

What does it mean to write in exponential form?

When you are writing in exponential form, you are writing it with a base and an exponent. 

500

Explain in a complete sentence:

What does it mean to write in expansion form?

To write in expansion form, you are showing the expanded multiplication of the base.