Exponential Expressions and Scientific Notation

Simplify Expressions I

100

x/x

1

200

(x)(x^2)

What is (x^3)

300

(ab)(ab)

(a^2)(b^2)

400

(x^2)(y^-1)

What is (x^2)/(y)

500

(-2b^2)^2/(b)

What is 4b^3

Simplify Expressions II

100

x^0

What is 1

200

(3^2)∙(3^3)

3^5

300

Daily Double! Simplify both (2x)^-2 and 2x^-2

(2x)^-2 = 1/4x^2

2x^-2 = 2/x^2

400

(18ab)/(3ab)^2

What is 9/ab

500

(3ab^3)/(9ab^3)

What is 1/3

Compare SN and Standard Form

100

What is .0000058 written in scientific notation?

5.8 X 10 ^-6

200

Which is bigger? 45,000 or 4.5 X 10^3

45,000

300

Convert to scientific notation: 0.0003005

3.005 X 10^-4

400

Daily Double! Convert to standard notation AND the correct scientific notation: 987 X 10^5

Standard Notation: 98,700,000

Scientific Notation: 9.87 x 10^7

500

The size of four oceans in square km is shown below. List the oceans from smallest to largest. Pacific Ocean: 1.796*10⁸, Artic Ocean: 1.323*10⁷, Atlantic Ocean: 1.061*10⁸, Indian Ocean: 7.498*10⁷

Artic, Indian, Atlantic, Pacific

Mixed Bag

100

(1/4)^-2

16 

200

(3a)^3

What is 27a^3

300

Convert to standard notation: 9.64 X 10^-7

0.000000964

400

x^2/x^4

What is 1/(x^2)

500

Light travels at a speed of 1.86 x 105 miles per second. It takes light from the Sun about 4.8 x 103 seconds to reach Saturn. Find the approximate distance from the Sun to Saturn.

8.928 x 10⁸

Operations with SN

100

Solve the expression (7 x 10⁵) - (5.2 x 10⁴)

6.48 x 10⁵

200

Solve (2 x 10⁴) - (4 x 10²)

1.96 x 10⁴

300

Find the product (1.9 x 10^3) (4.5 X 10^2)

8.55 x 10 ^ 5

400

The population of the United States is 3.1 x 10⁸ and the population of Canada is 3.38 x 10⁷ . What is the total population?

3.438 x 10⁸

500

Solve (3.66 x 10^-5)/(2.0 x 10^-3)

1.83 x 10^-2