Unit 6 - 8th - Exponents

Law of Exponents

100

x^2∙x^3∙x^4

What is x^9?

200

8^2/8^6

What is 8^-4? OR what is 1/(8^4)

300

(a^5∙x^3)/(a^6∙x^2)

What is a^-1∙x^1 OR x/a?

400

[(-3x)^2/(6x)]^2

What is 4x^2/9

500

Simplify [ (-a^-2∙b^5)/(a^3∙b^2)]^-3

What is -a^15∙b^-9 OR -a^15/b^9?

Scientific Notation

100

Convert to standard notation: 4.7 X 10^4

47,000

200

Convert into scientific notation: 0.0000345

3.45 X 10^-5

300

Convert to scientific notation: 234000

2.34 X 10^5

400

Which number is smallest? 1.36 x 10^4 or 1.36 x 10^7

What is 1.36 x 10^4?

500

Compare. ORder from least to greatest 8.22 x 10^-3, 1.93 x 10^-2, 7.01 x 10^-3

7.01 x 10^-3, 8.22 x 10^-3, 1.93 x 10^-2

Multiplying and Dividing with Scientific Notation

100

(4.2 X 10^2) X (2 X 10^2)

8.4 X 10^4

200

(1.3 X 10^5) X (3 X 10^-2)

3.9 X 10^3

300

(4 X 10^4) / (2 X 10^2)

2 X 10^2

400

(9 X 10^9) / (3 X 10^3)

3 x 10^6

500

(9 X 10^11) / (9 X 10^-12)

1 X 10^23

Order of Operations

100

[5 + (9 - 4) ^3] + - 2

What is 128?

200

–6 + (2 – 5)^3 ÷ 3

What is -15?

300

(-5 + 4)^2/(-3 + 2)^2

What is 1?

400

Evaluate [2∙4-(-1)^3]/(14-7+2)

What is 1?

500

Simplify (19 - 5)^2 - 10^2

96