Group 1 Chapter 1 Review

Exponents

100

define an exponent 

tells us how many times the base is being done

200

5³

125

300

5^x = 15,625

x = 6

400

x² = 81

x = 9

500

10⁴

10,000

Multiplying Monomials

100

5^{2 x} 5

5³

200

7⁶ x 7⁴

7¹⁰

300

(2x³y²z) (5x²y²)

10x⁵y⁴z

400

(-ab²) (a⁵b⁸)

(-a⁶b¹⁰)

500

(20c⁵t⁶) (0.5ab)

10abc⁵t⁶

Dividing Monomials

100

What do you do to the exponents when dividing with like bases?

subtract exponents

200

a¹⁰b⁵ / ab³

a⁹b²

300

5x⁹y³ / x⁸y³

5x

400

36x⁵y⁵z / 6x²y²

6x³y³z

500

49x¹⁰y⁵ / 7x³y⁵z

7x⁷ / z

Powers of Powers

100

(5²)⁵

5¹⁰

200

(5^x)⁷ = 5²¹

X = 3

300

(2a²b⁵)³

8a⁶b¹⁵

400

(a²b¹⁰)⁴ (ab)

a⁹b⁴¹

500

(-a³b⁴) (a⁴b)⁵

-a²³b⁹

Scientific Notation

100

2.65 x 10⁶

2650000

200

2.65 x 10^-5

0.0000265

300

Write in scientific notation 

1980000000

1.98 x 10⁹

400

Write in scientific method 

0.000000000000566

5.66 x 10^-13

500

7.89 x 10^x = 78900000000

x = 10